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916396740 = 2237574173
BaseRepresentation
bin110110100111110…
…001101011000100
32100212100210000000
4312213301223010
53334044143430
6230533321300
731465146420
oct6647615304
92325323000
10916396740
11430311486
12216a96230
13117b179bc
14899c7b80
15556b9e60
hex369f1ac4

916396740 has 384 divisors, whose sum is σ = 3425264640. Its totient is φ = 201553920.

The previous prime is 916396739. The next prime is 916396753. The reversal of 916396740 is 47693619.

916396740 is a `hidden beast` number, since 9 + 1 + 639 + 6 + 7 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12553344 + ... + 12553416.

It is an arithmetic number, because the mean of its divisors is an integer number (8919960).

Almost surely, 2916396740 is an apocalyptic number.

916396740 is a gapful number since it is divisible by the number (90) 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 916396740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712632320).

916396740 is an abundant number, since it is smaller than the sum of its proper divisors (2508867900).

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

916396740 is a wasteful number, since it uses less digits than its factorization.

916396740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 916396740 is about 30272.0455205789. The cubic root of 916396740 is about 971.3174220127.

The spelling of 916396740 in words is "nine hundred sixteen million, three hundred ninety-six thousand, seven hundred forty".