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329524340 = 22519385369
BaseRepresentation
bin10011101001000…
…010010001110100
3211222001120102012
4103221002101310
51133324234330
652410503352
711110624235
oct2351022164
9758046365
10329524340
1115a00a572
1292434b58
1353367422
1431a9b08c
151dde1c95
hex13a42474

329524340 has 24 divisors (see below), whose sum is σ = 695594760. Its totient is φ = 131125248.

The previous prime is 329524337. The next prime is 329524387. The reversal of 329524340 is 43425923.

It can be written as a sum of positive squares in 4 ways, for example, as 9972964 + 319551376 = 3158^2 + 17876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 329524297 and 329524306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38825 + ... + 46544.

It is an arithmetic number, because the mean of its divisors is an integer number (28983115).

Almost surely, 2329524340 is an apocalyptic number.

It is an amenable number.

329524340 is an abundant number, since it is smaller than the sum of its proper divisors (366070420).

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

329524340 is a wasteful number, since it uses less digits than its factorization.

329524340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85571 (or 85569 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 329524340 is about 18152.8052928466. The cubic root of 329524340 is about 690.7101419433.

The spelling of 329524340 in words is "three hundred twenty-nine million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 85369 170738 341476 426845 853690 1707380 16476217 32952434 65904868 82381085 164762170 329524340