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34073403672 = 23371123379133
BaseRepresentation
bin11111101110111011…
…101110000100011000
310020221122010020201210
4133232323232010120
51024240242404142
623353023143120
72314241103210
oct375673560430
9106848106653
1034073403672
11134a5603550
12672b144aa0
1332a0277629
141913429240
15d4654d49c
hex7eeeee118

34073403672 has 128 divisors (see below), whose sum is σ = 106659970560. Its totient is φ = 8812139520.

The previous prime is 34073403667. The next prime is 34073403713. The reversal of 34073403672 is 27630437043.

It is a self number, because there is not a number n which added to its sum of digits gives 34073403672.

It is a congruent number.

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, 391018 + ... + 470150.

It is an arithmetic number, because the mean of its divisors is an integer number (833281020).

Almost surely, 234073403672 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 34073403672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53329985280).

34073403672 is an abundant number, since it is smaller than the sum of its proper divisors (72586566888).

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

34073403672 is a wasteful number, since it uses less digits than its factorization.

34073403672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79393 (or 79389 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

The spelling of 34073403672 in words is "thirty-four billion, seventy-three million, four hundred three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 233 264 308 462 466 616 699 924 932 1398 1631 1848 1864 2563 2796 3262 4893 5126 5592 6524 7689 9786 10252 13048 15378 17941 19572 20504 30756 35882 39144 53823 61512 71764 79133 107646 143528 158266 215292 237399 316532 430584 474798 553931 633064 870463 949596 1107862 1661793 1740926 1899192 2215724 2611389 3323586 3481852 4431448 5222778 6093241 6647172 6963704 10445556 12186482 13294344 18279723 18437989 20891112 24372964 36559446 36875978 48745928 55313967 73118892 73751956 110627934 129065923 146237784 147503912 202817879 221255868 258131846 387197769 405635758 442511736 516263692 608453637 774395538 811271516 1032527384 1216907274 1419725153 1548791076 1622543032 2433814548 2839450306 3097582152 4259175459 4867629096 5678900612 8518350918 11357801224 17036701836 34073403672