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34574462340 = 223511347150967
BaseRepresentation
bin100000001100110011…
…000110110110000100
310022020112221200000020
4200030303012312010
51031302030243330
623514442415140
72332534036515
oct401463066604
9108215850006
1034574462340
1113732423320
12684ab014b0
133350010552
14195dbb8a0c
15d75525210
hex80ccc6d84

34574462340 has 96 divisors (see below), whose sum is σ = 105914317824. Its totient is φ = 8357477760.

The previous prime is 34574462303. The next prime is 34574462371. The reversal of 34574462340 is 4326447543.

It is a super-2 number, since 2×345744623402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34574462292 and 34574462301.

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, 153537 + ... + 304503.

It is an arithmetic number, because the mean of its divisors is an integer number (1103274144).

Almost surely, 234574462340 is an apocalyptic number.

34574462340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34574462340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52957158912).

34574462340 is an abundant number, since it is smaller than the sum of its proper divisors (71339855484).

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

34574462340 is a wasteful number, since it uses less digits than its factorization.

34574462340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151337 (or 151335 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 34574462340 in words is "thirty-four billion, five hundred seventy-four million, four hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 347 660 694 1041 1388 1735 2082 3470 3817 4164 5205 6940 7634 10410 11451 15268 19085 20820 22902 38170 45804 57255 76340 114510 150967 229020 301934 452901 603868 754835 905802 1509670 1660637 1811604 2264505 3019340 3321274 4529010 4981911 6642548 8303185 9058020 9963822 16606370 19927644 24909555 33212740 49819110 52385549 99638220 104771098 157156647 209542196 261927745 314313294 523855490 576241039 628626588 785783235 1047710980 1152482078 1571566470 1728723117 2304964156 2881205195 3143132940 3457446234 5762410390 6914892468 8643615585 11524820780 17287231170 34574462340