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690690312 = 2332136112097
BaseRepresentation
bin101001001010110…
…001100100001000
31210010122200222200
4221022301210020
52403304042222
6152311520200
723054525244
oct5112614410
91703580880
10690690312
11324970944
12173389060
13b012cac0
1467a33424
1540983eac
hex292b1908

690690312 has 96 divisors (see below), whose sum is σ = 2047707480. Its totient is φ = 209018880.

The previous prime is 690690277. The next prime is 690690313. The reversal of 690690312 is 213096096.

It can be written as a sum of positive squares in 4 ways, for example, as 91126116 + 599564196 = 9546^2 + 24486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (690690313) by changing a digit.

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, 51048 + ... + 63144.

Almost surely, 2690690312 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 690690312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023853740).

690690312 is an abundant number, since it is smaller than the sum of its proper divisors (1357017168).

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

690690312 is a wasteful number, since it uses less digits than its factorization.

690690312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 690690312 is about 26280.9876526739. The cubic root of 690690312 is about 883.9501790749.

The spelling of 690690312 in words is "six hundred ninety million, six hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 12097 14274 19032 24194 28548 36291 48388 57096 72582 96776 108873 145164 157261 217746 290328 314522 435492 471783 629044 737917 870984 943566 1258088 1415349 1475834 1887132 2213751 2830698 2951668 3774264 4427502 5661396 5903336 6641253 8855004 9592921 11322792 13282506 17710008 19185842 26565012 28778763 38371684 53130024 57557526 76743368 86336289 115115052 172672578 230230104 345345156 690690312