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90034329 = 371117101227
BaseRepresentation
bin1010101110111…
…01000010011001
320021102012212210
411113131002121
5141022044304
612533425333
72142164520
oct527350231
9207365783
1090034329
1146905140
122619b249
1315864768
14bd594b7
157d86c89
hex55dd099

90034329 has 64 divisors (see below), whose sum is σ = 160745472. Its totient is φ = 43392000.

The previous prime is 90034313. The next prime is 90034349. The reversal of 90034329 is 92343009.

It is not a de Polignac number, because 90034329 - 24 = 90034313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90034296 and 90034305.

It is not an unprimeable number, because it can be changed into a prime (90034309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396514 + ... + 396740.

It is an arithmetic number, because the mean of its divisors is an integer number (2511648).

Almost surely, 290034329 is an apocalyptic number.

It is an amenable number.

90034329 is a deficient number, since it is larger than the sum of its proper divisors (70711143).

90034329 is a wasteful number, since it uses less digits than its factorization.

90034329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 90034329 is about 9488.6421051697. The cubic root of 90034329 is about 448.1974459844.

The spelling of 90034329 in words is "ninety million, thirty-four thousand, three hundred twenty-nine".

Divisors: 1 3 7 11 17 21 33 51 77 101 119 187 227 231 303 357 561 681 707 1111 1309 1589 1717 2121 2497 3333 3859 3927 4767 5151 7491 7777 11577 12019 17479 18887 22927 23331 27013 36057 42449 52437 56661 68781 81039 127347 132209 160489 252197 297143 389759 396627 481467 756591 891429 1169277 1765379 2728313 4287349 5296137 8184939 12862047 30011443 90034329