Search a number
-
+
34129337670 = 23251941486797
BaseRepresentation
bin11111110010010001…
…000101110101000110
310021002112100222202100
4133302101011311012
51024344102301140
623402342052530
72315520404121
oct376221056506
9107075328670
1034129337670
111352413759a
126745a1a146
1332aba2c97c
14191aa293b8
15d4b3eb530
hex7f2445d46

34129337670 has 96 divisors (see below), whose sum is σ = 95685014880. Its totient is φ = 8411834880.

The previous prime is 34129337653. The next prime is 34129337699. The reversal of 34129337670 is 7673392143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173289 + ... + 313508.

It is an arithmetic number, because the mean of its divisors is an integer number (996718905).

Almost surely, 234129337670 is an apocalyptic number.

34129337670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34129337670 is an abundant number, since it is smaller than the sum of its proper divisors (61555677210).

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

34129337670 is a wasteful number, since it uses less digits than its factorization.

34129337670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486870 (or 486867 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 34129337670 in words is "thirty-four billion, one hundred twenty-nine million, three hundred thirty-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 570 615 738 779 855 1230 1558 1710 1845 2337 3690 3895 4674 7011 7790 11685 14022 23370 35055 70110 486797 973594 1460391 2433985 2920782 4381173 4867970 7301955 8762346 9249143 14603910 18498286 19958677 21905865 27747429 39917354 43811730 46245715 55494858 59876031 83242287 92491430 99793385 119752062 138737145 166484574 179628093 199586770 277474290 299380155 359256186 379214863 416211435 598760310 758429726 832422870 898140465 1137644589 1796280930 1896074315 2275289178 3412933767 3792148630 5688222945 6825867534 11376445890 17064668835 34129337670