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342702144760 = 2354327122713
BaseRepresentation
bin1001111110010101010…
…00111011110011111000
31012202120111112202000011
410333022220323303320
521103323222113020
6421234000151304
733521323111243
oct4771250736370
91182514482004
10342702144760
11122380476728
1256502308534
1326416968ba1
141283054025a
158dab50135a
hex4fcaa3bcf8

342702144760 has 96 divisors (see below), whose sum is σ = 792226044720. Its totient is φ = 133349690880.

The previous prime is 342702144739. The next prime is 342702144761. The reversal of 342702144760 is 67441207243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342702144761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126317164 + ... + 126319876.

Almost surely, 2342702144760 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 342702144760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396113022360).

342702144760 is an abundant number, since it is smaller than the sum of its proper divisors (449523899960).

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

342702144760 is a wasteful number, since it uses less digits than its factorization.

342702144760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 342702144760 in words is "three hundred forty-two billion, seven hundred two million, one hundred forty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 271 344 430 542 860 1084 1355 1720 2168 2710 2713 5420 5426 10840 10852 11653 13565 21704 23306 27130 46612 54260 58265 73441 93224 108520 116530 116659 146882 233060 233318 293764 367205 466120 466636 583295 587528 734410 735223 933272 1166590 1468820 1470446 2333180 2937640 2940892 3157963 3676115 4666360 5881784 6315926 7352230 12631852 14704460 15789815 25263704 29408920 31579630 31614589 63159260 63229178 126318520 126458356 158072945 199245433 252916712 316145890 398490866 632291780 796981732 996227165 1264583560 1593963464 1992454330 3984908660 7969817320 8567553619 17135107238 34270214476 42837768095 68540428952 85675536190 171351072380 342702144760