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840356240 = 245174713147
BaseRepresentation
bin110010000101101…
…101000110010000
32011120021112001012
4302011231012100
53210112344430
6215215430052
726552624123
oct6205550620
92146245035
10840356240
113a13a5099
121b5525328
13105142919
147d8723ba
154db99695
hex3216d190

840356240 has 80 divisors (see below), whose sum is σ = 2112936192. Its totient is φ = 309614592.

The previous prime is 840356227. The next prime is 840356243. The reversal of 840356240 is 42653048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8403562402 = 1412397220213875200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 840356197 and 840356206.

It is not an unprimeable number, because it can be changed into a prime (840356243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57347 + ... + 70493.

Almost surely, 2840356240 is an apocalyptic number.

840356240 is a gapful number since it is divisible by the number (80) 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 840356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056468096).

840356240 is an abundant number, since it is smaller than the sum of its proper divisors (1272579952).

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

840356240 is a wasteful number, since it uses less digits than its factorization.

840356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13224 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 840356240 is about 28988.8985647955. The cubic root of 840356240 is about 943.6721606488.

The spelling of 840356240 in words is "eight hundred forty million, three hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 3196 3760 3995 6392 7990 12784 13147 15980 26294 31960 52588 63920 65735 105176 131470 210352 223499 262940 446998 525880 617909 893996 1051760 1117495 1235818 1787992 2234990 2471636 3089545 3575984 4469980 4943272 6179090 8939960 9886544 10504453 12358180 17879920 21008906 24716360 42017812 49432720 52522265 84035624 105044530 168071248 210089060 420178120 840356240