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690220440 = 233457132341
BaseRepresentation
bin101001001000111…
…110110110011000
31210002202211110000
4221020332312120
52403144023230
6152253453000
723050530330
oct5110766630
91702684400
10690220440
1132467a918
121731a1160
13accc6c80
14679500c0
15408deb60
hex2923ed98

690220440 has 320 divisors, whose sum is σ = 2856490560. Its totient is φ = 145566720.

The previous prime is 690220423. The next prime is 690220471. The reversal of 690220440 is 44022096.

690220440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293670 + ... + 296010.

It is an arithmetic number, because the mean of its divisors is an integer number (8926533).

Almost surely, 2690220440 is an apocalyptic number.

690220440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428245280).

690220440 is an abundant number, since it is smaller than the sum of its proper divisors (2166270120).

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

690220440 is a wasteful number, since it uses less digits than its factorization.

690220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 690220440 is about 26272.0467417367. The cubic root of 690220440 is about 883.7496851381.

The spelling of 690220440 in words is "six hundred ninety million, two hundred twenty thousand, four hundred forty".