Search a number
-
+
3161664 = 263211499
BaseRepresentation
bin1100000011111001000000
312221121222200
430003321000
51302133124
6151433200
735605452
oct14037100
95847880
103161664
11186a450
121085800
1386910c
145c42d2
15426bc9
hex303e40

3161664 has 84 divisors (see below), whose sum is σ = 9906000. Its totient is φ = 956160.

The previous prime is 3161651. The next prime is 3161681. The reversal of 3161664 is 4661613.

It is a super-2 number, since 2×31616642 = 19992238497792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6087 + ... + 6585.

Almost surely, 23161664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953000).

3161664 is an abundant number, since it is smaller than the sum of its proper divisors (6744336).

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

3161664 is a wasteful number, since it uses less digits than its factorization.

With its successor (3161665) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (528).

3161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3161664 is about 1778.1068584312. The cubic root of 3161664 is about 146.7704316207.

The spelling of 3161664 in words is "three million, one hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 499 528 576 704 792 998 1056 1497 1584 1996 2112 2994 3168 3992 4491 5489 5988 6336 7984 8982 10978 11976 15968 16467 17964 21956 23952 31936 32934 35928 43912 47904 49401 65868 71856 87824 95808 98802 131736 143712 175648 197604 263472 287424 351296 395208 526944 790416 1053888 1580832 3161664