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34686492948 = 2234192296557
BaseRepresentation
bin100000010011011110…
…011110000100010100
310022112100202102010000
4200103132132010110
51032014220233243
623533523531300
72335364216412
oct402336360424
9108470672100
1034686492948
111378a6915a8
126880529b30
13336a2a6c53
141970a1c2b2
15d802a45d3
hex81379e114

34686492948 has 90 divisors (see below), whose sum is σ = 95701342506. Its totient is φ = 10953592416.

The previous prime is 34686492941. The next prime is 34686492977. The reversal of 34686492948 is 84929468643.

It can be written as a sum of positive squares in only one way, i.e., 32361131664 + 2325361284 = 179892^2 + 48222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34686492941) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31315 + ... + 265242.

Almost surely, 234686492948 is an apocalyptic number.

34686492948 is a gapful number since it is divisible by the number (38) 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 34686492948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47850671253).

34686492948 is an abundant number, since it is smaller than the sum of its proper divisors (61014849558).

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

34686492948 is a wasteful number, since it uses less digits than its factorization.

34686492948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296611 (or 296581 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 34686492948 in words is "thirty-four billion, six hundred eighty-six million, four hundred ninety-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 4332 6156 6498 9747 12996 19494 29241 38988 58482 116964 296557 593114 889671 1186228 1779342 2669013 3558684 5338026 5634583 8007039 10676052 11269166 16014078 16903749 22538332 24021117 32028156 33807498 48042234 50711247 67614996 96084468 101422494 107057077 152133741 202844988 214114154 304267482 321171231 428228308 456401223 608534964 642342462 912802446 963513693 1284684924 1825604892 1927027386 2890541079 3854054772 5781082158 8671623237 11562164316 17343246474 34686492948