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3103415040 = 28351173471
BaseRepresentation
bin1011100011111010…
…0101101100000000
322000021121211002210
42320332211230000
522323433240130
61231540542120
7136622410155
oct27076455400
98007554083
103103415040
111352884720
127273b1940
133a5c5257b
1421624622c
151326c05b0
hexb8fa5b00

3103415040 has 144 divisors (see below), whose sum is σ = 10812727296. Its totient is φ = 752332800.

The previous prime is 3103415023. The next prime is 3103415057. The reversal of 3103415040 is 405143013.

It is an interprime number because it is at equal distance from previous prime (3103415023) and next prime (3103415057).

It is a junction number, because it is equal to n+sod(n) for n = 3103414998 and 3103415016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505 + ... + 78975.

It is an arithmetic number, because the mean of its divisors is an integer number (75088384).

Almost surely, 23103415040 is an apocalyptic number.

3103415040 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 3103415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406363648).

3103415040 is an abundant number, since it is smaller than the sum of its proper divisors (7709312256).

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

3103415040 is a wasteful number, since it uses less digits than its factorization.

3103415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73506 (or 73492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3103415040 is about 55708.3031513257. The cubic root of 3103415040 is about 1458.6349660994.

Adding to 3103415040 its reverse (405143013), we get a palindrome (3508558053).

The spelling of 3103415040 in words is "three billion, one hundred three million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 73471 146942 220413 293884 367355 440826 587768 734710 808181 881652 1102065 1175536 1469420 1616362 1763304 2204130 2351072 2424543 2938840 3232724 3526608 4040905 4408260 4702144 4849086 5877680 6465448 7053216 8081810 8816520 9404288 9698172 11755360 12122715 12930896 14106432 16163620 17633040 18808576 19396344 23510720 24245430 25861792 28212864 32327240 35266080 38792688 47021440 48490860 51723584 56425728 64654480 70532160 77585376 94042880 96981720 103447168 129308960 141064320 155170752 193963440 206894336 258617920 282128640 310341504 387926880 517235840 620683008 775853760 1034471680 1551707520 3103415040