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690368 = 2672367
BaseRepresentation
bin10101000100011000000
31022002000012
42220203000
5134042433
622444052
75603510
oct2504300
91262005
10690368
11431758
12293628
131b2303
1413d840
15d9848
hexa88c0

690368 has 56 divisors (see below), whose sum is σ = 1658112. Its totient is φ = 278784.

The previous prime is 690367. The next prime is 690377. The reversal of 690368 is 863096.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (690367) 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, 10271 + ... + 10337.

2690368 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 690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829056).

690368 is an abundant number, since it is smaller than the sum of its proper divisors (967744).

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

690368 is a wasteful number, since it uses less digits than its factorization.

690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 690368 is about 830.8838667347. The cubic root of 690368 is about 88.3812658648.

The spelling of 690368 in words is "six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 67 92 112 134 161 184 224 268 322 368 448 469 536 644 736 938 1072 1288 1472 1541 1876 2144 2576 3082 3752 4288 5152 6164 7504 10304 10787 12328 15008 21574 24656 30016 43148 49312 86296 98624 172592 345184 690368