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34192711104 = 263434141559
BaseRepresentation
bin11111110110000010…
…110101110111000000
310021020221121200202120
4133312002311313000
51030011313223404
623412524244240
72320220151246
oct376602656700
9107227550676
1034192711104
1113556991a32
1267630a0680
1332bbbbb246
141925204796
15d51c689d9
hex7f60b5dc0

34192711104 has 56 divisors (see below), whose sum is σ = 92572149120. Its totient is φ = 11132507904.

The previous prime is 34192711081. The next prime is 34192711153. The reversal of 34192711104 is 40111729143.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2062524 + ... + 2079035.

Almost surely, 234192711104 is an apocalyptic number.

It is an amenable number.

34192711104 is an abundant number, since it is smaller than the sum of its proper divisors (58379438016).

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

34192711104 is a wasteful number, since it uses less digits than its factorization.

34192711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141617 (or 4141607 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 34192711104 in words is "thirty-four billion, one hundred ninety-two million, seven hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 4141559 8283118 12424677 16566236 24849354 33132472 49698708 66264944 99397416 132529888 178087037 198794832 265059776 356174074 397589664 534261111 712348148 795179328 1068522222 1424696296 2137044444 2849392592 4274088888 5698785184 8548177776 11397570368 17096355552 34192711104