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338625232 = 241141167281
BaseRepresentation
bin10100001011110…
…000001011010000
3212121011221111021
4110023300023100
51143142001412
653333525224
711251160401
oct2413601320
9777157437
10338625232
11164166170
12954a3814
135520297a
1432d899a8
151eadd607
hex142f02d0

338625232 has 80 divisors (see below), whose sum is σ = 740202624. Its totient is φ = 148736000.

The previous prime is 338625211. The next prime is 338625233. The reversal of 338625232 is 232526833.

It is a super-2 number, since 2×3386252322 = 229334095494107648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338625233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204932 + ... + 1205212.

Almost surely, 2338625232 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 338625232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370101312).

338625232 is an abundant number, since it is smaller than the sum of its proper divisors (401577392).

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

338625232 is a wasteful number, since it uses less digits than its factorization.

338625232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 338625232 is about 18401.7725233196. The cubic root of 338625232 is about 697.0112243952.

The spelling of 338625232 in words is "three hundred thirty-eight million, six hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 167 176 281 328 334 451 562 656 668 902 1124 1336 1804 1837 2248 2672 3091 3608 3674 4496 6182 6847 7216 7348 11521 12364 13694 14696 23042 24728 27388 29392 46084 46927 49456 54776 75317 92168 93854 109552 126731 150634 184336 187708 253462 301268 375416 506924 516197 602536 750832 1013848 1032394 1205072 1924007 2027696 2064788 3848014 4129576 7696028 8259152 15392056 21164077 30784112 42328154 84656308 169312616 338625232