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342640265440 = 25511241807809
BaseRepresentation
bin1001111110001101111…
…00111000100011100000
31012202102012002221112111
410333012330320203200
521103211401443230
6421223510005104
733516642126124
oct4770674704340
91182365087474
10342640265440
111223495518a0
12564a5646794
1326406bb16c5
1412826233584
158da5d7b92a
hex4fc6f388e0

342640265440 has 96 divisors (see below), whose sum is σ = 886742730720. Its totient is φ = 124079308800.

The previous prime is 342640265431. The next prime is 342640265467. The reversal of 342640265440 is 44562046243.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 342640265393 and 342640265402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20256 + ... + 828064.

It is an arithmetic number, because the mean of its divisors is an integer number (9236903445).

Almost surely, 2342640265440 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 342640265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443371365360).

342640265440 is an abundant number, since it is smaller than the sum of its proper divisors (544102465280).

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

342640265440 is a wasteful number, since it uses less digits than its factorization.

342640265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808076 (or 808068 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 342640265440 in words is "three hundred forty-two billion, six hundred forty million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 241 352 440 482 880 964 1205 1760 1928 2410 2651 3856 4820 5302 7712 9640 10604 13255 19280 21208 26510 38560 42416 53020 84832 106040 212080 424160 807809 1615618 3231236 4039045 6462472 8078090 8885899 12924944 16156180 17771798 25849888 32312360 35543596 44429495 64624720 71087192 88858990 129249440 142174384 177717980 194681969 284348768 355435960 389363938 710871920 778727876 973409845 1421743840 1557455752 1946819690 2141501659 3114911504 3893639380 4283003318 6229823008 7787278760 8566006636 10707508295 15574557520 17132013272 21415016590 31149115040 34264026544 42830033180 68528053088 85660066360 171320132720 342640265440