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690348960 = 25335737617
BaseRepresentation
bin101001001001011…
…110001110100000
31210010000100202000
4221021132032200
52403212131320
6152300324000
723051604120
oct5111361640
91703010660
10690348960
11324758434
12173243600
13b0040612
1467984c80
1540917c90
hex2925e3a0

690348960 has 384 divisors, whose sum is σ = 2840624640. Its totient is φ = 153280512.

The previous prime is 690348959. The next prime is 690348977. The reversal of 690348960 is 69843096.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1118572 + ... + 1119188.

It is an arithmetic number, because the mean of its divisors is an integer number (7397460).

Almost surely, 2690348960 is an apocalyptic number.

690348960 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 690348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420312320).

690348960 is an abundant number, since it is smaller than the sum of its proper divisors (2150275680).

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

690348960 is a wasteful number, since it uses less digits than its factorization.

690348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 690348960 is about 26274.4925735969. The cubic root of 690348960 is about 883.8045335383.

The spelling of 690348960 in words is "six hundred ninety million, three hundred forty-eight thousand, nine hundred sixty".