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334691356128 = 2534185033373
BaseRepresentation
bin1001101111011010010…
…10001100110111100000
31011222220012211111212220
410313231022030313200
520440421441344003
6413431033151040
733115651405323
oct4675512146740
91158805744786
10334691356128
11119a3a5aa658
1254a4755b480
132573b11927c
14122b06687ba
158a8d0c4353
hex4ded28cde0

334691356128 has 48 divisors (see below), whose sum is σ = 899993230416. Its totient is φ = 108842716160.

The previous prime is 334691356079. The next prime is 334691356133. The reversal of 334691356128 is 821653196433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3346913561282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42512751 + ... + 42520622.

It is an arithmetic number, because the mean of its divisors is an integer number (18749858967).

Almost surely, 2334691356128 is an apocalyptic number.

It is an amenable number.

334691356128 is an abundant number, since it is smaller than the sum of its proper divisors (565301874288).

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

334691356128 is a wasteful number, since it uses less digits than its factorization.

334691356128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85033427 (or 85033419 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The spelling of 334691356128 in words is "three hundred thirty-four billion, six hundred ninety-one million, three hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 85033373 170066746 255100119 340133492 510200238 680266984 1020400476 1360533968 2040800952 2721067936 3486368293 4081601904 6972736586 8163203808 10459104879 13945473172 20918209758 27890946344 41836419516 55781892688 83672839032 111563785376 167345678064 334691356128