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34220663316 = 22327219399469
BaseRepresentation
bin11111110111101101…
…011110001000010100
310021022220012210222200
4133313231132020110
51030040442211231
623415403324500
72321006560500
oct376755361024
9107286183880
1034220663316
1113570743934
126770520730
1332c4927108
141928bdd300
15d5443abe6
hex7f7b5e214

34220663316 has 54 divisors (see below), whose sum is σ = 100625050890. Its totient is φ = 9777331872.

The previous prime is 34220663311. The next prime is 34220663333. The reversal of 34220663316 is 61336602243.

34220663316 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 0 + 6 + 633 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17950640400 + 16270022916 = 133980^2 + 127554^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220663311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9697971 + ... + 9701498.

Almost surely, 234220663316 is an apocalyptic number.

34220663316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34220663316 is an abundant number, since it is smaller than the sum of its proper divisors (66404387574).

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

34220663316 is a wasteful number, since it uses less digits than its factorization.

34220663316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19399493 (or 19399481 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34220663316 in words is "thirty-four billion, two hundred twenty million, six hundred sixty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 19399469 38798938 58198407 77597876 116396814 135796283 174595221 232793628 271592566 349190442 407388849 543185132 698380884 814777698 950573981 1222166547 1629555396 1901147962 2444333094 2851721943 3802295924 4888666188 5703443886 8555165829 11406887772 17110331658 34220663316