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34690152540 = 22355330113623
BaseRepresentation
bin100000010011101100…
…011011100001011100
310022112121122100010110
4200103230123201130
51032021134340130
623534134210020
72335440300651
oct402354334134
9108477570113
1034690152540
111379176105a
1268817b3910
13336ac888a4
1419712d1c28
15d80778ab0
hex813b1b85c

34690152540 has 96 divisors (see below), whose sum is σ = 99025307136. Its totient is φ = 9070647040.

The previous prime is 34690152509. The next prime is 34690152551. The reversal of 34690152540 is 4525109643.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 9573169 + ... + 9576791.

It is an arithmetic number, because the mean of its divisors is an integer number (1031513616).

Almost surely, 234690152540 is an apocalyptic number.

34690152540 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 34690152540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49512653568).

34690152540 is an abundant number, since it is smaller than the sum of its proper divisors (64335154596).

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

34690152540 is a wasteful number, since it uses less digits than its factorization.

34690152540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 34690152540 in words is "thirty-four billion, six hundred ninety million, one hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3011 3180 3623 6022 7246 9033 10869 12044 14492 15055 18066 18115 21738 30110 36132 36230 43476 45165 54345 60220 72460 90330 108690 159583 180660 192019 217380 319166 384038 478749 576057 638332 768076 797915 957498 960095 1152114 1595830 1914996 1920190 2304228 2393745 2880285 3191660 3840380 4787490 5760570 9574980 10908853 11521140 21817706 32726559 43635412 54544265 65453118 109088530 130906236 163632795 218177060 327265590 578169209 654531180 1156338418 1734507627 2312676836 2890846045 3469015254 5781692090 6938030508 8672538135 11563384180 17345076270 34690152540