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690312 = 23372587
BaseRepresentation
bin10101000100010001000
31022001221010
42220202020
5134042222
622443520
75603400
oct2504210
91261833
10690312
11431707
122935a0
131b228c
1413d800
15d980c
hexa8888

690312 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 196896.

The previous prime is 690293. The next prime is 690323. The reversal of 690312 is 213096.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 690312.

It is an unprimeable number.

690312 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 11 ways as a sum of consecutive naturals, for example, 883 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2690312 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 690312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

690312 is an abundant number, since it is smaller than the sum of its proper divisors (1320648).

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

690312 is a wasteful number, since it uses less digits than its factorization.

690312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 690312 is about 830.8501669976. The cubic root of 690312 is about 88.3788760840.

The spelling of 690312 in words is "six hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 587 588 1174 1176 1761 2348 3522 4109 4696 7044 8218 12327 14088 16436 24654 28763 32872 49308 57526 86289 98616 115052 172578 230104 345156 690312