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90340624 = 24112332203
BaseRepresentation
bin1010110001001…
…11110100010000
320021222210001001
411120213310100
5141111344444
612544151344
72144611513
oct530476420
9207883031
1090340624
1146aa4280
1226308554
1315940cba
14bdd8d7a
157de78d4
hex5627d10

90340624 has 40 divisors (see below), whose sum is σ = 191853792. Its totient is φ = 40869120.

The previous prime is 90340577. The next prime is 90340633. The reversal of 90340624 is 42604309.

It is a super-2 number, since 2×903406242 = 16322856689418752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90340592 and 90340601.

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, 39907 + ... + 42109.

Almost surely, 290340624 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 90340624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95926896).

90340624 is an abundant number, since it is smaller than the sum of its proper divisors (101513168).

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

90340624 is a wasteful number, since it uses less digits than its factorization.

90340624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 90340624 is about 9504.7684874488. The cubic root of 90340624 is about 448.7051236538.

The spelling of 90340624 in words is "ninety million, three hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 466 932 1864 2203 2563 3728 4406 5126 8812 10252 17624 20504 24233 35248 41008 48466 96932 193864 387728 513299 1026598 2053196 4106392 5646289 8212784 11292578 22585156 45170312 90340624