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914053392 = 243272693371
BaseRepresentation
bin110110011110110…
…101100100010000
32100200221201112100
4312132311210100
53332444202032
6230411200400
731436216460
oct6636654420
92320851470
10914053392
11429a6092a
12216146100
131174a71c5
1489577ba0
15553a597c
hex367b5910

914053392 has 120 divisors (see below), whose sum is σ = 2935258560. Its totient is φ = 260110080.

The previous prime is 914053391. The next prime is 914053447. The reversal of 914053392 is 293350419.

It is a happy number.

914053392 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 (36).

It is not an unprimeable number, because it can be changed into a prime (914053391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269467 + ... + 272837.

It is an arithmetic number, because the mean of its divisors is an integer number (24460488).

Almost surely, 2914053392 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 914053392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467629280).

914053392 is an abundant number, since it is smaller than the sum of its proper divisors (2021205168).

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

914053392 is a wasteful number, since it uses less digits than its factorization.

914053392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 914053392 is about 30233.3159279626. The cubic root of 914053392 is about 970.4887861443.

The spelling of 914053392 in words is "nine hundred fourteen million, fifty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 269 336 504 538 807 1008 1076 1614 1883 2152 2421 3228 3371 3766 4304 4842 5649 6456 6742 7532 9684 10113 11298 12912 13484 15064 16947 19368 20226 22596 23597 26968 30128 30339 33894 38736 40452 45192 47194 53936 60678 67788 70791 80904 90384 94388 121356 135576 141582 161808 188776 212373 242712 271152 283164 377552 424746 485424 566328 849492 906799 1132656 1698984 1813598 2720397 3397968 3627196 5440794 6347593 7254392 8161191 10881588 12695186 14508784 16322382 19042779 21763176 25390372 32644764 38085558 43526352 50780744 57128337 65289528 76171116 101561488 114256674 130579056 152342232 228513348 304684464 457026696 914053392