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343030649376 = 25319290364783
BaseRepresentation
bin1001111110111100011…
…10000101001000100000
31012210102101200111121210
410333132032011020200
521110011321240001
6421330333150120
733532422260532
oct4773616051040
91183371614553
10343030649376
1112252994a048
125659432b340
1326469a3710c
1412862013852
158dca290dd6
hex4fde385220

343030649376 has 96 divisors (see below), whose sum is σ = 948188989440. Its totient is φ = 108286481664.

The previous prime is 343030649341. The next prime is 343030649393. The reversal of 343030649376 is 673946030343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3430306493762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5262681 + ... + 5327463.

It is an arithmetic number, because the mean of its divisors is an integer number (9876968640).

Almost surely, 2343030649376 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 343030649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474094494720).

343030649376 is an abundant number, since it is smaller than the sum of its proper divisors (605158340064).

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

343030649376 is a wasteful number, since it uses less digits than its factorization.

343030649376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67718 (or 67710 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 48.

The spelling of 343030649376 in words is "three hundred forty-three billion, thirty million, six hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2903 5806 8709 11612 17418 23224 34836 46448 55157 64783 69672 92896 110314 129566 139344 165471 194349 220628 259132 278688 330942 388698 441256 518264 661884 777396 882512 1036528 1230877 1323768 1554792 1765024 2073056 2461754 2647536 3109584 3692631 4923508 5295072 6219168 7385262 9847016 14770524 19694032 29541048 39388064 59082096 118164192 188065049 376130098 564195147 752260196 1128390294 1504520392 2256780588 3009040784 3573235931 4513561176 6018081568 7146471862 9027122352 10719707793 14292943724 18054244704 21439415586 28585887448 42878831172 57171774896 85757662344 114343549792 171515324688 343030649376