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34478413884 = 22334110097717
BaseRepresentation
bin100000000111000100…
…101101100000111100
310021222212012220022000
4200013010231200330
51031102433221014
623501132022300
72330256453045
oct400704554074
9107885186260
1034478413884
1113693190732
126822901990
133336151545
1419511358cc
15d6bda1509
hex80712d83c

34478413884 has 96 divisors (see below), whose sum is σ = 91671316800. Its totient is φ = 11199928320.

The previous prime is 34478413841. The next prime is 34478413889. The reversal of 34478413884 is 48831487443.

34478413884 is a `hidden beast` number, since 34 + 478 + 4 + 138 + 8 + 4 = 666.

It is a super-2 number, since 2×344784138842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34478413884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34478413889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4463994 + ... + 4471710.

It is an arithmetic number, because the mean of its divisors is an integer number (954909550).

Almost surely, 234478413884 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 34478413884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45835658400).

34478413884 is an abundant number, since it is smaller than the sum of its proper divisors (57192902916).

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

34478413884 is a wasteful number, since it uses less digits than its factorization.

34478413884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8772 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 34478413884 in words is "thirty-four billion, four hundred seventy-eight million, four hundred thirteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1009 1107 1476 2018 2214 3027 4036 4428 6054 7717 9081 12108 15434 18162 23151 27243 30868 36324 41369 46302 54486 69453 82738 92604 108972 124107 138906 165476 208359 248214 277812 316397 372321 416718 496428 632794 744642 833436 949191 1116963 1265588 1489284 1898382 2233926 2847573 3796764 4467852 5695146 7786453 8542719 11390292 15572906 17085438 23359359 31145812 34170876 46718718 70078077 93437436 140156154 210234231 280312308 319244573 420468462 638489146 840936924 957733719 1276978292 1915467438 2873201157 3830934876 5746402314 8619603471 11492804628 17239206942 34478413884