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34635423416 = 23111763136691
BaseRepresentation
bin100000010000011011…
…101001111010111000
310022101210122210212212
4200100123221322320
51031413132022131
623524501154252
72334204145556
oct402033517270
9108353583785
1034635423416
1113763880280
1268673bb988
13335c835aa9
141967d26bd6
15d7aa67a2b
hex8106e9eb8

34635423416 has 64 divisors (see below), whose sum is σ = 75133474560. Its totient is φ = 14793408000.

The previous prime is 34635423397. The next prime is 34635423419. The reversal of 34635423416 is 61432453643.

It is a super-2 number, since 2×346354234162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34635423419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925631 + ... + 962321.

It is an arithmetic number, because the mean of its divisors is an integer number (1173960540).

Almost surely, 234635423416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34635423416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37566737280).

34635423416 is an abundant number, since it is smaller than the sum of its proper divisors (40498051144).

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

34635423416 is a wasteful number, since it uses less digits than its factorization.

34635423416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37356 (or 37352 counting only the distinct ones).

The product of its digits is 622080, while the sum is 41.

The spelling of 34635423416 in words is "thirty-four billion, six hundred thirty-five million, four hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 631 748 1262 1496 2524 5048 6941 10727 13882 21454 27764 36691 42908 55528 73382 85816 117997 146764 235994 293528 403601 471988 623747 807202 943976 1247494 1614404 2494988 3228808 4989976 6861217 13722434 23152021 27444868 46304042 54889736 92608084 185216168 254672231 393584357 509344462 787168714 1018688924 1574337428 2037377848 3148674856 4329427927 8658855854 17317711708 34635423416