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90317344 = 25131991091
BaseRepresentation
bin1010110001000…
…10001000100000
320021221121002211
411120202020200
5141110123334
612543451504
72144453605
oct530421040
9207847084
1090317344
1146a88837
12262b6b94
1315933520
14bdd06ac
157de0a64
hex5622220

90317344 has 48 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 41437440.

The previous prime is 90317341. The next prime is 90317347. The reversal of 90317344 is 44371309.

It is an interprime number because it is at equal distance from previous prime (90317341) and next prime (90317347).

It is not an unprimeable number, because it can be changed into a prime (90317341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82239 + ... + 83329.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 290317344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90317344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

90317344 is an abundant number, since it is smaller than the sum of its proper divisors (102311456).

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

90317344 is a wasteful number, since it uses less digits than its factorization.

90317344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 90317344 is about 9503.5437600929. The cubic root of 90317344 is about 448.6665778620. Note that the first 3 decimals are identical.

The spelling of 90317344 in words is "ninety million, three hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 199 208 398 416 796 1091 1592 2182 2587 3184 4364 5174 6368 8728 10348 14183 17456 20696 28366 34912 41392 56732 82784 113464 217109 226928 434218 453856 868436 1736872 2822417 3473744 5644834 6947488 11289668 22579336 45158672 90317344