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3716365444 = 221121721632
BaseRepresentation
bin1101110110000011…
…0011110010000100
3100120222222220222121
43131200303302010
530102342143234
61412434335324
7161044404451
oct33540636204
910528886877
103716365444
111637878400
1287872a544
13472c3390c
14273800828
1516b3ea4b4
hexdd833c84

3716365444 has 81 divisors (see below), whose sum is σ = 7640745861. Its totient is φ = 1580135040.

The previous prime is 3716365441. The next prime is 3716365453. The reversal of 3716365444 is 4445636173.

The square root of 3716365444 is 60962.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2893364100 + 823001344 = 53790^2 + 28688^2 .

It is a super-2 number, since 2×37163654442 = 27622744226714634272, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3716365444.

It is not an unprimeable number, because it can be changed into a prime (3716365441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22799707 + ... + 22799869.

Almost surely, 23716365444 is an apocalyptic number.

3716365444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3716365444 is the 60962-nd square number.

It is an amenable number.

3716365444 is an abundant number, since it is smaller than the sum of its proper divisors (3924380417).

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

3716365444 is a wasteful number, since it uses less digits than its factorization.

3716365444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The cubic root of 3716365444 is about 1548.9573902769.

The spelling of 3716365444 in words is "three billion, seven hundred sixteen million, three hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 163 187 242 289 326 374 484 578 652 748 1156 1793 2057 2771 3179 3586 4114 5542 6358 7172 8228 11084 12716 19723 26569 30481 34969 39446 47107 53138 60962 69938 78892 94214 106276 121924 139876 188428 292259 335291 451673 518177 584518 670582 903346 1036354 1169036 1341164 1806692 2072708 3214849 4968403 5699947 6429698 7678441 9936806 11399894 12859396 15356882 19873612 22799788 30713764 54652433 84462851 109304866 168925702 218609732 337851404 929091361 1858182722 3716365444