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3403433040 = 243572969857
BaseRepresentation
bin1100101011011100…
…0100010001010000
322210012011022102120
43022313010101100
523432234324130
61321415214240
7150224463210
oct31267042120
98705138376
103403433040
111497170687
127ab977380
13423158607
14244022240
1514dbd4910
hexcadc4450

3403433040 has 160 divisors (see below), whose sum is σ = 12473844480. Its totient is φ = 751091712.

The previous prime is 3403433039. The next prime is 3403433071. The reversal of 3403433040 is 403343043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3403433040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13792 + ... + 83648.

It is an arithmetic number, because the mean of its divisors is an integer number (77961528).

Almost surely, 23403433040 is an apocalyptic number.

3403433040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236922240).

3403433040 is an abundant number, since it is smaller than the sum of its proper divisors (9070411440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3403433040 is a wasteful number, since it uses less digits than its factorization.

3403433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69909 (or 69903 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3403433040 is about 58338.9495963032. The cubic root of 3403433040 is about 1504.2005282835.

Adding to 3403433040 its reverse (403343043), we get a palindrome (3806776083).

The spelling of 3403433040 in words is "three billion, four hundred three million, four hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 69857 139714 209571 279428 349285 419142 488999 558856 698570 838284 977998 1047855 1117712 1397140 1466997 1676568 1955996 2025853 2095710 2444995 2794280 2933994 3353136 3911992 4051706 4191420 4889990 5588560 5867988 6077559 7334985 7823984 8103412 8382840 9779980 10129265 11735976 12155118 14180971 14669970 16206824 16765680 19559960 20258530 23471952 24310236 28361942 29339940 30387795 32413648 39119920 40517060 42542913 48620472 56723884 58679880 60775590 70904855 81034120 85085826 97240944 113447768 117359760 121551180 141809710 162068240 170171652 212714565 226895536 243102360 283619420 340343304 425429130 486204720 567238840 680686608 850858260 1134477680 1701716520 3403433040