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328338252 = 223311313883
BaseRepresentation
bin10011100100100…
…000101101001100
3211212211022102000
4103210200231030
51133023311002
652325232300
711064554244
oct2344405514
9755738360
10328338252
1115937a430
1291b62690
13530405b8
143186cb24
151dc5a61c
hex13920b4c

328338252 has 96 divisors (see below), whose sum is σ = 932655360. Its totient is φ = 99066240.

The previous prime is 328338251. The next prime is 328338277. The reversal of 328338252 is 252833823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (328338251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371403 + ... + 372285.

It is an arithmetic number, because the mean of its divisors is an integer number (9715160).

Almost surely, 2328338252 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 328338252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466327680).

328338252 is an abundant number, since it is smaller than the sum of its proper divisors (604317108).

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

328338252 is a wasteful number, since it uses less digits than its factorization.

328338252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1212 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 328338252 is about 18120.1062910790. The cubic root of 328338252 is about 689.8804329682.

The spelling of 328338252 in words is "three hundred twenty-eight million, three hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 313 396 594 626 883 939 1188 1252 1766 1878 2649 2817 3443 3532 3756 5298 5634 6886 7947 8451 9713 10329 10596 11268 13772 15894 16902 19426 20658 23841 29139 30987 31788 33804 38852 41316 47682 58278 61974 87417 92961 95364 116556 123948 174834 185922 262251 276379 349668 371844 524502 552758 829137 1049004 1105516 1658274 2487411 3040169 3316548 4974822 6080338 7462233 9120507 9949644 12160676 14924466 18241014 27361521 29848932 36482028 54723042 82084563 109446084 164169126 328338252