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354380734116 = 223218041545641
BaseRepresentation
bin1010010100000101011…
…11001101111010100100
31020212201101212112211200
411022002233031322210
521301232431442431
6430444505002500
734413612352563
oct5120257157244
91225641775750
10354380734116
1112732375a772
1258821483430
13275583473a6
141321b5b3bda
159341933ee6
hex5282bcdea4

354380734116 has 36 divisors (see below), whose sum is σ = 895847039724. Its totient is φ = 118120147200.

The previous prime is 354380734109. The next prime is 354380734121. The reversal of 354380734116 is 611437083453.

354380734116 is a `hidden beast` number, since 35 + 438 + 0 + 73 + 4 + 116 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33673718016 + 320707016100 = 183504^2 + 566310^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 376656 + ... + 922296.

Almost surely, 2354380734116 is an apocalyptic number.

354380734116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

354380734116 is an abundant number, since it is smaller than the sum of its proper divisors (541466305608).

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

354380734116 is a wasteful number, since it uses less digits than its factorization.

354380734116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563692 (or 563687 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 354380734116 in words is "three hundred fifty-four billion, three hundred eighty million, seven hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 18041 36082 54123 72164 108246 162369 216492 324738 545641 649476 1091282 1636923 2182564 3273846 4910769 6547692 9821538 19643076 9843909281 19687818562 29531727843 39375637124 59063455686 88595183529 118126911372 177190367058 354380734116