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3244034040 = 23351318111489
BaseRepresentation
bin1100000101011100…
…0000011111111000
322101002020000002220
43001113000133320
523120433042130
61253522524040
7143250556122
oct30127003770
98332200086
103244034040
111415199875
12766506620
133c9118590
1422abac212
1513ebea410
hexc15c07f8

3244034040 has 128 divisors (see below), whose sum is σ = 10539547200. Its totient is φ = 794050560.

The previous prime is 3244034023. The next prime is 3244034041. The reversal of 3244034040 is 404304423.

It is a happy number.

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 3244034040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244034041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276616 + ... + 288104.

Almost surely, 23244034040 is an apocalyptic number.

3244034040 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 3244034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269773600).

3244034040 is an abundant number, since it is smaller than the sum of its proper divisors (7295513160).

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

3244034040 is a wasteful number, since it uses less digits than its factorization.

3244034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3244034040 is about 56956.4222893257. The cubic root of 3244034040 is about 1480.3411132411.

Adding to 3244034040 its reverse (404304423), we get a palindrome (3648338463).

The spelling of 3244034040 in words is "three billion, two hundred forty-four million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 181 195 260 312 362 390 520 543 724 780 905 1086 1448 1560 1810 2172 2353 2715 3620 4344 4706 5430 7059 7240 9412 10860 11489 11765 14118 18824 21720 22978 23530 28236 34467 35295 45956 47060 56472 57445 68934 70590 91912 94120 114890 137868 141180 149357 172335 229780 275736 282360 298714 344670 448071 459560 597428 689340 746785 896142 1194856 1378680 1493570 1792284 2079509 2240355 2987140 3584568 4159018 4480710 5974280 6238527 8318036 8961420 10397545 12477054 16636072 17922840 20795090 24954108 27033617 31192635 41590180 49908216 54067234 62385270 81100851 83180360 108134468 124770540 135168085 162201702 216268936 249541080 270336170 324403404 405504255 540672340 648806808 811008510 1081344680 1622017020 3244034040