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353008696940 = 225431514016779
BaseRepresentation
bin1010010001100001111…
…01010011111001101100
31020202011210010211122222
411020300331103321230
521240430211300230
6430100413254512
734334612262314
oct5106075237154
91222153124588
10353008696940
1112678a22a949
12584b9a94438
132739a009583
141312b2a0444
1592b12646e5
hex5230f53e6c

353008696940 has 96 divisors (see below), whose sum is σ = 765598901760. Its totient is φ = 136644480000.

The previous prime is 353008696879. The next prime is 353008696967. The reversal of 353008696940 is 49696800353.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52070471 + ... + 52077249.

It is an arithmetic number, because the mean of its divisors is an integer number (7974988560).

Almost surely, 2353008696940 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 353008696940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382799450880).

353008696940 is an abundant number, since it is smaller than the sum of its proper divisors (412590204820).

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

353008696940 is a wasteful number, since it uses less digits than its factorization.

353008696940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 53.

The spelling of 353008696940 in words is "three hundred fifty-three billion, eight million, six hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 43 86 151 172 215 302 401 430 604 755 802 860 1510 1604 2005 3020 4010 6493 6779 8020 12986 13558 17243 25972 27116 32465 33895 34486 60551 64930 67790 68972 86215 121102 129860 135580 172430 242204 291497 302755 344860 582994 605510 1023629 1165988 1211020 1457485 2047258 2603693 2718379 2914970 4094516 5118145 5207386 5436758 5829940 10236290 10414772 10873516 13018465 13591895 20472580 26036930 27183790 44016047 52073860 54367580 88032094 116890297 176064188 220080235 233780594 410475229 440160470 467561188 584451485 820950458 880320940 1168902970 1641900916 2052376145 2337805940 4104752290 8209504580 17650434847 35300869694 70601739388 88252174235 176504348470 353008696940