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329245640 = 2358299929
BaseRepresentation
bin10011100111111…
…110001111001000
3211221112102002222
4103213332033020
51133241330030
652400513212
711105353553
oct2347761710
9757472088
10329245640
1115993a139
129231b808
135329a609
1431a2769a
151dd893e5
hex139fe3c8

329245640 has 32 divisors (see below), whose sum is σ = 741771000. Its totient is φ = 131526144.

The previous prime is 329245627. The next prime is 329245643. The reversal of 329245640 is 46542923.

It can be written as a sum of positive squares in 4 ways, for example, as 229764964 + 99480676 = 15158^2 + 9974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 329245640.

It is not an unprimeable number, because it can be changed into a prime (329245643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28196 + ... + 38124.

Almost surely, 2329245640 is an apocalyptic number.

It is an amenable number.

329245640 is an abundant number, since it is smaller than the sum of its proper divisors (412525360).

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

329245640 is a wasteful number, since it uses less digits than its factorization.

329245640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 329245640 is about 18145.1271695737. The cubic root of 329245640 is about 690.5153609728.

The spelling of 329245640 in words is "three hundred twenty-nine million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 829 1658 3316 4145 6632 8290 9929 16580 19858 33160 39716 49645 79432 99290 198580 397160 8231141 16462282 32924564 41155705 65849128 82311410 164622820 329245640