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345042402288 = 243291357718257
BaseRepresentation
bin1010000010101100010…
…00010011101111110000
31012222121121011010210220
411001112020103233300
521123121323333123
6422302120053040
733633321012423
oct5012610235760
91188547133726
10345042402288
11123371493861
1256a56004180
13266ca767b5c
14129b328b9ba
158e96bc5ce3
hex5056213bf0

345042402288 has 80 divisors (see below), whose sum is σ = 922214501280. Its totient is φ = 111033868288.

The previous prime is 345042402277. The next prime is 345042402301. The reversal of 345042402288 is 882204240543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18890056 + ... + 18908312.

It is an arithmetic number, because the mean of its divisors is an integer number (11527681266).

Almost surely, 2345042402288 is an apocalyptic number.

It is an amenable number.

345042402288 is an abundant number, since it is smaller than the sum of its proper divisors (577172098992).

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

345042402288 is a wasteful number, since it uses less digits than its factorization.

345042402288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31874 (or 31868 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 345042402288 in words is "three hundred forty-five billion, forty-two million, four hundred two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 13577 18257 27154 36514 40731 54308 54771 73028 81462 108616 109542 146056 162924 217232 219084 292112 325848 393733 438168 529453 651696 787466 876336 1058906 1181199 1574932 1588359 2117812 2362398 3149864 3176718 4235624 4724796 6299728 6353436 8471248 9449592 12706872 18899184 25413744 247875289 495750578 743625867 991501156 1487251734 1983002312 2974503468 3966004624 5949006936 7188383381 11898013872 14376766762 21565150143 28753533524 43130300286 57507067048 86260600572 115014134096 172521201144 345042402288