Search a number
-
+
332679168 = 2113218049
BaseRepresentation
bin10011110101000…
…100100000000000
3212011222212000200
4103311010200000
51140131213133
653002245200
711146504053
oct2365044000
9764885020
10332679168
11160874868
12934b6800
1353c003a3
143227ca9a
151e316913
hex13d44800

332679168 has 72 divisors (see below), whose sum is σ = 960891750. Its totient is φ = 110886912.

The previous prime is 332679133. The next prime is 332679181. The reversal of 332679168 is 861976233.

It can be written as a sum of positive squares in only one way, i.e., 227165184 + 105513984 = 15072^2 + 10272^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3326791682 = 221350857642344448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9408 + ... + 27456.

Almost surely, 2332679168 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 332679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480445875).

332679168 is an abundant number, since it is smaller than the sum of its proper divisors (628212582).

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

332679168 is a wasteful number, since it uses less digits than its factorization.

332679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18077 (or 18054 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 332679168 is about 18239.4947298438. The cubic root of 332679168 is about 692.9074044059.

The spelling of 332679168 in words is "three hundred thirty-two million, six hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18049 18432 36098 54147 72196 108294 144392 162441 216588 288784 324882 433176 577568 649764 866352 1155136 1299528 1732704 2310272 2599056 3465408 4620544 5198112 6930816 9241088 10396224 13861632 18482176 20792448 27723264 36964352 41584896 55446528 83169792 110893056 166339584 332679168