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690336 = 25331747
BaseRepresentation
bin10101000100010100000
31022001222000
42220202200
5134042321
622444000
75603433
oct2504240
91261860
10690336
11431729
12293600
131b22aa
1413d81a
15d9826
hexa88a0

690336 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 211968.

The previous prime is 690323. The next prime is 690341. The reversal of 690336 is 633096.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

690336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14665 + ... + 14711.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2690336 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 690336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

690336 is an abundant number, since it is smaller than the sum of its proper divisors (1486944).

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

690336 is a wasteful number, since it uses less digits than its factorization.

690336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 690336 is about 830.8646099095. The cubic root of 690336 is about 88.3799002916.

The spelling of 690336 in words is "six hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 47 48 51 54 68 72 94 96 102 108 136 141 144 153 188 204 216 272 282 288 306 376 408 423 432 459 544 564 612 752 799 816 846 864 918 1128 1224 1269 1504 1598 1632 1692 1836 2256 2397 2448 2538 3196 3384 3672 4512 4794 4896 5076 6392 6768 7191 7344 9588 10152 12784 13536 14382 14688 19176 20304 21573 25568 28764 38352 40608 43146 57528 76704 86292 115056 172584 230112 345168 690336