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34246129380 = 22357320693779
BaseRepresentation
bin11111111001001110…
…100111011011100100
310021101200010121212020
4133321032213123210
51030114002120010
623422113223140
72321436203541
oct377116473344
9107350117766
1034246129380
1113584057971
126778b61ab0
1332c9ca24a8
14192c34bbc8
15d567bb470
hex7f93a76e4

34246129380 has 96 divisors (see below), whose sum is σ = 97275427200. Its totient is φ = 9000465408.

The previous prime is 34246129369. The next prime is 34246129387. The reversal of 34246129380 is 8392164243.

It is not an unprimeable number, because it can be changed into a prime (34246129387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9060331 + ... + 9064109.

It is an arithmetic number, because the mean of its divisors is an integer number (1013285700).

Almost surely, 234246129380 is an apocalyptic number.

34246129380 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 34246129380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48637713600).

34246129380 is an abundant number, since it is smaller than the sum of its proper divisors (63029297820).

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

34246129380 is a wasteful number, since it uses less digits than its factorization.

34246129380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 34246129380 in words is "thirty-four billion, two hundred forty-six million, one hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2069 2190 3779 4138 4380 6207 7558 8276 10345 11337 12414 15116 18895 20690 22674 24828 31035 37790 41380 45348 56685 62070 75580 113370 124140 151037 226740 275867 302074 453111 551734 604148 755185 827601 906222 1103468 1379335 1510370 1655202 1812444 2265555 2758670 3020740 3310404 4138005 4531110 5517340 7818751 8276010 9062220 15637502 16552020 23456253 31275004 39093755 46912506 78187510 93825012 117281265 156375020 234562530 469125060 570768823 1141537646 1712306469 2283075292 2853844115 3424612938 5707688230 6849225876 8561532345 11415376460 17123064690 34246129380