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329248735204 = 22281210212
BaseRepresentation
bin1001100101010001100…
…00001111111111100100
31011110211220120201120011
410302220300033333210
520343300134011304
6411131011020004
732534043033664
oct4625060177744
91143756521504
10329248735204
111176a7366a34
125398889a604
132508167560c
1411d158aa1a4
15887038ac04
hex4ca8c0ffe4

329248735204 has 27 divisors (see below), whose sum is σ = 578809969563. Its totient is φ = 163877851200.

The previous prime is 329248735187. The next prime is 329248735213. The reversal of 329248735204 is 402537842923.

The square root of 329248735204 is 573802.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22111095204 + 307137640000 = 148698^2 + 554200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 322476214 + ... + 322477234.

Almost surely, 2329248735204 is an apocalyptic number.

329248735204 is the 573802-nd square number.

It is an amenable number.

329248735204 is a deficient number, since it is larger than the sum of its proper divisors (249561234359).

329248735204 is an frugal number, since it uses more digits than its factorization.

329248735204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 329248735204 by its sum of digits (49), we get a square (16133188024996 = 40166142).

The spelling of 329248735204 in words is "three hundred twenty-nine billion, two hundred forty-eight million, seven hundred thirty-five thousand, two hundred four".

Divisors: 1 2 4 281 562 1021 1124 2042 4084 78961 157922 286901 315844 573802 1042441 1147604 2084882 4169764 80619181 161238362 292925921 322476724 585851842 1171703684 82312183801 164624367602 329248735204