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690652368 = 243275631217
BaseRepresentation
bin101001001010101…
…000010011010000
31210010120202221100
4221022220103100
52403301333433
6152311024400
723054306520
oct5112502320
91703522840
10690652368
1132494538a
1217336b100
13b0118753
1467a23680
1540977b13
hex292a84d0

690652368 has 120 divisors (see below), whose sum is σ = 2214733248. Its totient is φ = 196816896.

The previous prime is 690652301. The next prime is 690652373. The reversal of 690652368 is 863256096.

It is a happy number.

690652368 is a `hidden beast` number, since 69 + 0 + 6 + 523 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566896 + ... + 568112.

Almost surely, 2690652368 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 690652368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107366624).

690652368 is an abundant number, since it is smaller than the sum of its proper divisors (1524080880).

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

690652368 is a wasteful number, since it uses less digits than its factorization.

690652368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 690652368 is about 26280.2657520810. The cubic root of 690652368 is about 883.9339917817.

The spelling of 690652368 in words is "six hundred ninety million, six hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 563 1008 1126 1217 1689 2252 2434 3378 3651 3941 4504 4868 5067 6756 7302 7882 8519 9008 9736 10134 10953 11823 13512 14604 15764 17038 19472 20268 21906 23646 25557 27024 29208 31528 34076 35469 40536 43812 47292 51114 58416 63056 68152 70938 76671 81072 87624 94584 102228 136304 141876 153342 175248 189168 204456 283752 306684 408912 567504 613368 685171 1226736 1370342 2055513 2740684 4111026 4796197 5481368 6166539 8222052 9592394 10962736 12333078 14388591 16444104 19184788 24666156 28777182 32888208 38369576 43165773 49332312 57554364 76739152 86331546 98664624 115108728 172663092 230217456 345326184 690652368