Search a number
-
+
332029472 = 25234091103
BaseRepresentation
bin10011110010100…
…101111000100000
3212010202211210212
4103302211320200
51134444420342
652540313252
711141126645
oct2362457040
9763684725
10332029472
11160470725
1293242828
1353a33758
143214ddcc
151e239182
hex13ca5e20

332029472 has 48 divisors (see below), whose sum is σ = 684391680. Its totient is φ = 158264832.

The previous prime is 332029469. The next prime is 332029487. The reversal of 332029472 is 274920233.

It is a happy number.

It is a super-2 number, since 2×3320294722 = 220487140553197568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300473 + ... + 301575.

It is an arithmetic number, because the mean of its divisors is an integer number (14258160).

Almost surely, 2332029472 is an apocalyptic number.

332029472 is a gapful number since it is divisible by the number (32) 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 332029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342195840).

332029472 is an abundant number, since it is smaller than the sum of its proper divisors (352362208).

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

332029472 is a wasteful number, since it uses less digits than its factorization.

332029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 332029472 is about 18221.6758834087. The cubic root of 332029472 is about 692.4560460749.

The spelling of 332029472 in words is "three hundred thirty-two million, twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 409 736 818 1103 1636 2206 3272 4412 6544 8824 9407 13088 17648 18814 25369 35296 37628 50738 75256 101476 150512 202952 301024 405904 451127 811808 902254 1804508 3609016 7218032 10375921 14436064 20751842 41503684 83007368 166014736 332029472