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3460638690 = 232571541571
BaseRepresentation
bin1100111001000101…
…0010011111100010
322221011210122211100
43032101102133202
524041410414230
61331221255230
7151520641425
oct31621223742
98834718740
103460638690
111516493083
12806b64516
13431c67702
1424b8739bc
15153c34660
hexce4527e2

3460638690 has 48 divisors (see below), whose sum is σ = 9124405056. Its totient is φ = 909837600.

The previous prime is 3460638689. The next prime is 3460638733. The reversal of 3460638690 is 968360643.

3460638690 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 638 + 6 + 9 + 0 = 666.

3460638690 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34606386902 = 23952040285449832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264396 + ... + 277175.

It is an arithmetic number, because the mean of its divisors is an integer number (190091772).

Almost surely, 23460638690 is an apocalyptic number.

3460638690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3460638690 is an abundant number, since it is smaller than the sum of its proper divisors (5663766366).

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

3460638690 is a wasteful number, since it uses less digits than its factorization.

3460638690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541655 (or 541652 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3460638690 is about 58827.1934567679. The cubic root of 3460638690 is about 1512.5813906979.

The spelling of 3460638690 in words is "three billion, four hundred sixty million, six hundred thirty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 541571 1083142 1624713 2707855 3249426 4874139 5415710 8123565 9748278 16247130 24370695 38451541 48741390 76903082 115354623 192257705 230709246 346063869 384515410 576773115 692127738 1153546230 1730319345 3460638690