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329374452 = 2231119912539
BaseRepresentation
bin10011101000011…
…101101011110100
3211221202221210210
4103220131223310
51133304440302
652403345420
711106431241
oct2350355364
9757687723
10329374452
11159a179a0
1292382270
1353314134
1431a5c5c8
151ddb266c
hex13a1daf4

329374452 has 48 divisors (see below), whose sum is σ = 842688000. Its totient is φ = 99300960.

The previous prime is 329374391. The next prime is 329374471. The reversal of 329374452 is 254473923.

It is a self number, because there is not a number n which added to its sum of digits gives 329374452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999 + ... + 32537.

It is an arithmetic number, because the mean of its divisors is an integer number (17556000).

Almost surely, 2329374452 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 329374452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344000).

329374452 is an abundant number, since it is smaller than the sum of its proper divisors (513313548).

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

329374452 is a wasteful number, since it uses less digits than its factorization.

329374452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12754 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 329374452 is about 18148.6763153680. The cubic root of 329374452 is about 690.6054001986.

The spelling of 329374452 in words is "three hundred twenty-nine million, three hundred seventy-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 398 597 796 1194 2189 2388 4378 6567 8756 12539 13134 25078 26268 37617 50156 75234 137929 150468 275858 413787 551716 827574 1655148 2495261 4990522 7485783 9981044 14971566 27447871 29943132 54895742 82343613 109791484 164687226 329374452