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329432742 = 2321131491087
BaseRepresentation
bin10011101000101…
…011111010100110
3211221212220202200
4103220223322212
51133313321432
652404515330
711110063212
oct2350537246
9757786680
10329432742
11159a57771
12923abb46
1353334822
1431a75942
151ddc4a7c
hex13a2bea6

329432742 has 48 divisors (see below), whose sum is σ = 725587200. Its totient is φ = 108009216.

The previous prime is 329432737. The next prime is 329432791. The reversal of 329432742 is 247234923.

It is a happy number.

329432742 is a `hidden beast` number, since 3 + 294 + 327 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 329432697 and 329432706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302523 + ... + 303609.

It is an arithmetic number, because the mean of its divisors is an integer number (15116400).

Almost surely, 2329432742 is an apocalyptic number.

329432742 is an abundant number, since it is smaller than the sum of its proper divisors (396154458).

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

329432742 is a wasteful number, since it uses less digits than its factorization.

329432742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1354 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 329432742 is about 18150.2821465673. The cubic root of 329432742 is about 690.6461370298.

The spelling of 329432742 in words is "three hundred twenty-nine million, four hundred thirty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 113 149 226 298 339 447 678 894 1017 1087 1341 2034 2174 2682 3261 6522 9783 16837 19566 33674 50511 101022 122831 151533 161963 245662 303066 323926 368493 485889 736986 971778 1105479 1457667 2210958 2915334 18301819 36603638 54905457 109810914 164716371 329432742