Search a number
329808690 = 232531118211
BaseRepresentation
bin10011101010000…
…111101100110010
3211222121000110200
4103222013230302
51133412334230
652420540030
711113220241
oct2352075462
9758530420
10329808690
1115a194172
1292551616
1353436993
1431b32958
151de4b160
hex13a87b32

329808690 has 48 divisors (see below), whose sum is σ = 885171456. Its totient is φ = 85111200.

The previous prime is 329808679. The next prime is 329808697. The reversal of 329808690 is 96808923.

329808690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3298086902 = 217547543999032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (329808697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56316 + ... + 61895.

It is an arithmetic number, because the mean of its divisors is an integer number (18441072).

Almost surely, 2329808690 is an apocalyptic number.

329808690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

329808690 is an abundant number, since it is smaller than the sum of its proper divisors (555362766).

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

329808690 is a wasteful number, since it uses less digits than its factorization.

329808690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118255 (or 118252 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 329808690 is about 18160.6357267580. The cubic root of 329808690 is about 690.9087584937.

The spelling of 329808690 in words is "three hundred twenty-nine million, eight hundred eight thousand, six hundred ninety".