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690134256 = 24347127599
BaseRepresentation
bin101001001000101…
…001110011110000
31210002121110020000
4221020221303300
52403133244011
6152251550000
723050021140
oct5110516360
91702543200
10690134256
11324621099
1217315b300
13acc96986
146792a920
15408c4356
hex29229cf0

690134256 has 200 divisors, whose sum is σ = 2304614400. Its totient is φ = 195302016.

The previous prime is 690134243. The next prime is 690134273. The reversal of 690134256 is 652431096.

690134256 = T3233 + T3234 + ... + T3359.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 690134256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1151845 + ... + 1152443.

It is an arithmetic number, because the mean of its divisors is an integer number (11523072).

Almost surely, 2690134256 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 690134256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152307200).

690134256 is an abundant number, since it is smaller than the sum of its proper divisors (1614480144).

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

690134256 is a wasteful number, since it uses less digits than its factorization.

690134256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 690134256 is about 26270.4064681154. The cubic root of 690134256 is about 883.7129006324.

The spelling of 690134256 in words is "six hundred ninety million, one hundred thirty-four thousand, two hundred fifty-six".