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914168340 = 223257576709
BaseRepresentation
bin110110011111010…
…001101000010100
32100201011120012200
4312133101220110
53333011341330
6230413444500
731440205551
oct6637215024
92321146180
10914168340
1142a02a228
122161a0730
13117517617
14895a7a28
15553c9a60
hex367d1a14

914168340 has 72 divisors (see below), whose sum is σ = 2777054280. Its totient is φ = 243419904.

The previous prime is 914168317. The next prime is 914168371. The reversal of 914168340 is 43861419.

914168340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 731269764 = 13524^2 + 27042^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 914168295 and 914168304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132906 + ... + 139614.

Almost surely, 2914168340 is an apocalyptic number.

914168340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

914168340 is an abundant number, since it is smaller than the sum of its proper divisors (1862885940).

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

914168340 is a wasteful number, since it uses less digits than its factorization.

914168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 914168340 is about 30235.2168836276. The cubic root of 914168340 is about 970.5294661418.

The spelling of 914168340 in words is "nine hundred fourteen million, one hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 757 1514 2271 3028 3785 4542 6709 6813 7570 9084 11355 13418 13626 15140 20127 22710 26836 27252 33545 34065 40254 45420 60381 67090 68130 80508 100635 120762 134180 136260 201270 241524 301905 402540 603810 1207620 5078713 10157426 15236139 20314852 25393565 30472278 45708417 50787130 60944556 76180695 91416834 101574260 152361390 182833668 228542085 304722780 457084170 914168340