Search a number
-
+
34367404340034 = 23217751253958901
BaseRepresentation
bin1111101000001110010001…
…11011010111001101000010
311111200111021111110201221200
413310013020323113031002
514001033421002340114
6201032100111202030
710144651213640613
oct764071073271502
9144614244421850
1034367404340034
11aa50152880267
123a30772216316
131623aa87ca54c
1486b569811c0a
153e8e95c2e409
hex1f41c8ed7342

34367404340034 has 96 divisors (see below), whose sum is σ = 78980287576320. Its totient is φ = 10763150400000.

The previous prime is 34367404339991. The next prime is 34367404340053. The reversal of 34367404340034 is 43004340476343.

It is a super-2 number, since 2×343674043400342 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583447984 + ... + 583506884.

It is an arithmetic number, because the mean of its divisors is an integer number (822711328920).

Almost surely, 234367404340034 is an apocalyptic number.

34367404340034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34367404340034 is an abundant number, since it is smaller than the sum of its proper divisors (44612883236286).

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

34367404340034 is a wasteful number, since it uses less digits than its factorization.

34367404340034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62216 (or 62213 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 45.

The spelling of 34367404340034 in words is "thirty-four trillion, three hundred sixty-seven billion, four hundred four million, three hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 751 1502 2253 2539 4506 5078 6759 7617 12767 13518 15234 22851 25534 38301 43163 45702 58901 76602 86326 114903 117802 129489 176703 229806 258978 353406 388467 530109 776934 1001317 1060218 1906789 2002634 3003951 3813578 5720367 6007902 9011853 11440734 17161101 18023706 32415413 34322202 44234651 64830826 88469302 97246239 132703953 149549639 194492478 265407906 291738717 299099278 398111859 448648917 583477434 751989067 796223718 897297834 1345946751 1503978134 2255967201 2542343863 2691893502 4511934402 5084687726 6767901603 7627031589 13535803206 15254063178 22881094767 45762189534 112311778889 224623557778 336935336667 673870673334 1010806010001 1909300241113 2021612020002 3818600482226 5727900723339 11455801446678 17183702170017 34367404340034