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34914091350 = 23521301178909
BaseRepresentation
bin100000100001000010…
…101100000101010110
310100010020000121102110
4200201002230011112
51033001001410400
624012254051450
72344126610535
oct404102540526
9110106017373
1034914091350
1113897104656
1269247a9b86
1333a54a5068
141992d4631c
15d95260e50
hex8210ac156

34914091350 has 48 divisors (see below), whose sum is σ = 86653985040. Its totient is φ = 9303216000.

The previous prime is 34914091319. The next prime is 34914091363. The reversal of 34914091350 is 5319041943.

It is a happy number.

It is a super-2 number, since 2×349140913502 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34914091299 and 34914091308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105696 + ... + 284604.

It is an arithmetic number, because the mean of its divisors is an integer number (1805291355).

Almost surely, 234914091350 is an apocalyptic number.

34914091350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34914091350 is an abundant number, since it is smaller than the sum of its proper divisors (51739893690).

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

34914091350 is a wasteful number, since it uses less digits than its factorization.

34914091350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180225 (or 180220 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 34914091350 in words is "thirty-four billion, nine hundred fourteen million, ninety-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1301 2602 3903 6505 7806 13010 19515 32525 39030 65050 97575 178909 195150 357818 536727 894545 1073454 1789090 2683635 4472725 5367270 8945450 13418175 26836350 232760609 465521218 698281827 1163803045 1396563654 2327606090 3491409135 5819015225 6982818270 11638030450 17457045675 34914091350