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34047270084 = 223291011098887
BaseRepresentation
bin11111101101011000…
…000001110011000100
310020212210221112012010
4133231120001303010
51024212100120314
623350251054220
72313503010042
oct375530016304
9106783845163
1034047270084
1113491883a43
126722441370
133297a27479
14190db85392
15d440da059
hex7ed601cc4

34047270084 has 96 divisors (see below), whose sum is σ = 83767622400. Its totient is φ = 10748505600.

The previous prime is 34047270073. The next prime is 34047270151. The reversal of 34047270084 is 48007274043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3826689 + ... + 3835575.

It is an arithmetic number, because the mean of its divisors is an integer number (872579400).

Almost surely, 234047270084 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 34047270084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41883811200).

34047270084 is an abundant number, since it is smaller than the sum of its proper divisors (49720352316).

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

34047270084 is a wasteful number, since it uses less digits than its factorization.

34047270084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 34047270084 in words is "thirty-four billion, forty-seven million, two hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 101 109 116 174 202 218 303 327 348 404 436 606 654 1212 1308 2929 3161 5858 6322 8787 8887 9483 11009 11716 12644 17574 17774 18966 22018 26661 33027 35148 35548 37932 44036 53322 66054 106644 132108 257723 319261 515446 638522 773169 897587 957783 968683 1030892 1277044 1546338 1795174 1915566 1937366 2692761 2906049 3092676 3590348 3831132 3874732 5385522 5812098 10771044 11624196 26030023 28091807 52060046 56183614 78090069 84275421 97836983 104120092 112367228 156180138 168550842 195673966 293510949 312360276 337101684 391347932 587021898 1174043796 2837272507 5674545014 8511817521 11349090028 17023635042 34047270084