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34012603436 = 22723159791201
BaseRepresentation
bin11111101011010011…
…110010010000101100
310020210101201021111012
4133223103302100230
51024124211302221
623343012044352
72312602234100
oct375323622054
9106711637435
1034012603436
1113474256419
1267129036b8
1332907aa366
14190931d900
15d4103d65b
hex7eb4f242c

34012603436 has 144 divisors (see below), whose sum is σ = 73666252800. Its totient is φ = 13680576000.

The previous prime is 34012603433. The next prime is 34012603439. The reversal of 34012603436 is 63430621043.

It is an interprime number because it is at equal distance from previous prime (34012603433) and next prime (34012603439).

It is not an unprimeable number, because it can be changed into a prime (34012603433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28319636 + ... + 28320836.

It is an arithmetic number, because the mean of its divisors is an integer number (511571200).

Almost surely, 234012603436 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 34012603436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833126400).

34012603436 is an abundant number, since it is smaller than the sum of its proper divisors (39653649364).

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

34012603436 is a wasteful number, since it uses less digits than its factorization.

34012603436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 34012603436 in words is "thirty-four billion, twelve million, six hundred three thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 49 59 62 79 98 118 124 158 196 217 236 316 413 434 553 826 868 1106 1201 1519 1652 1829 2212 2402 2449 2891 3038 3658 3871 4661 4804 4898 5782 6076 7316 7742 8407 9322 9796 11564 12803 15484 16814 17143 18644 25606 32627 33628 34286 37231 51212 58849 65254 68572 70859 74462 89621 94879 117698 120001 130508 141718 144491 148924 179242 189758 228389 235396 240002 260617 283436 288982 358484 379516 456778 480004 496013 521234 577964 664153 913556 992026 1011437 1042468 1328306 1824319 1984052 2022874 2196629 2656612 2941249 3472091 3648638 4045748 4393258 4649071 5597861 5882498 6944182 7080059 7297276 8786516 9298142 11195722 11764996 13888364 14160118 15376403 18596284 20588743 22391444 28320236 30752806 39185027 41177486 61505612 78370054 82354972 107634821 144121201 156740108 173533691 215269642 274295189 288242402 347067382 430539284 548590378 576484804 694134764 1097180756 1214735837 2429471674 4858943348 8503150859 17006301718 34012603436