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3103672440 = 23351123102229
BaseRepresentation
bin1011100011111110…
…0100100001111000
322000022002220012010
42320333210201320
522324020004230
61231550245520
7136624531461
oct27077444170
98008086163
103103672440
111352a40050
127274b68a0
133a601278b
142162b1d68
151327219b0
hexb8fe4878

3103672440 has 128 divisors (see below), whose sum is σ = 10599206400. Its totient is φ = 719685120.

The previous prime is 3103672433. The next prime is 3103672441. The reversal of 3103672440 is 442763013.

It is a super-2 number, since 2×31036724402 = 19265565229631107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3103672398 and 3103672407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3103672441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20755 + ... + 81474.

It is an arithmetic number, because the mean of its divisors is an integer number (82806300).

Almost surely, 23103672440 is an apocalyptic number.

3103672440 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 3103672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299603200).

3103672440 is an abundant number, since it is smaller than the sum of its proper divisors (7495533960).

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

3103672440 is a wasteful number, since it uses less digits than its factorization.

3103672440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102277 (or 102273 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3103672440 is about 55710.6133514970. The cubic root of 3103672440 is about 1458.6752918111.

The spelling of 3103672440 in words is "three billion, one hundred three million, six hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 102229 204458 306687 408916 511145 613374 817832 1022290 1124519 1226748 1533435 2044580 2249038 2351267 2453496 3066870 3373557 4089160 4498076 4702534 5622595 6133740 6747114 7053801 8996152 9405068 11245190 11756335 12267480 13494228 14107602 16867785 18810136 22490380 23512670 25863937 26988456 28215204 33735570 35269005 44980760 47025340 51727874 56430408 67471140 70538010 77591811 94050680 103455748 129319685 134942280 141076020 155183622 206911496 258639370 282152040 310367244 387959055 517278740 620734488 775918110 1034557480 1551836220 3103672440