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349973376688 = 24132922000671
BaseRepresentation
bin1010001011111000000…
…10011110111010110000
31020110100020122121001101
411011330002132322300
521213221141023223
6424435304014144
734166444422165
oct5057402367260
91213306577041
10349973376688
11125471935911
12579b1461354
13270052095a0
1412d2010206c
159184a454ad
hex517c09eeb0

349973376688 has 60 divisors (see below), whose sum is σ = 756282025408. Its totient is φ = 155956227840.

The previous prime is 349973376671. The next prime is 349973376737. The reversal of 349973376688 is 886673379943.

It is a self number, because there is not a number n which added to its sum of digits gives 349973376688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825408 + ... + 1175263.

Almost surely, 2349973376688 is an apocalyptic number.

It is an amenable number.

349973376688 is an abundant number, since it is smaller than the sum of its proper divisors (406308648720).

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

349973376688 is a wasteful number, since it uses less digits than its factorization.

349973376688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000750 (or 2000715 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 73.

The spelling of 349973376688 in words is "three hundred forty-nine billion, nine hundred seventy-three million, three hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 841 1508 1682 3016 3364 6032 6728 10933 13456 21866 43732 87464 174928 2000671 4001342 8002684 16005368 26008723 32010736 52017446 58019459 104034892 116038918 208069784 232077836 416139568 464155672 754252967 928311344 1508505934 1682564311 3017011868 3365128622 6034023736 6730257244 12068047472 13460514488 21873336043 26921028976 43746672086 87493344172 174986688344 349973376688