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34490203344 = 2432321774453
BaseRepresentation
bin100000000111110001…
…101011110011010000
310022000200101212101200
4200013301223303100
51031113443001334
623502232431200
72330461614462
oct400761536320
9108020355350
1034490203344
1113699903293
126826848500
13333871b75c
141952924132
15d6ce2e799
hex807c6bcd0

34490203344 has 60 divisors (see below), whose sum is σ = 96555967716. Its totient is φ = 11493006336.

The previous prime is 34490203331. The next prime is 34490203351. The reversal of 34490203344 is 44330209443.

It is a happy number.

34490203344 is a `hidden beast` number, since 3 + 449 + 0 + 203 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19948737600 + 14541465744 = 141240^2 + 120588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34490203299 and 34490203308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426022 + ... + 500474.

Almost surely, 234490203344 is an apocalyptic number.

It is an amenable number.

34490203344 is an abundant number, since it is smaller than the sum of its proper divisors (62065764372).

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

34490203344 is a wasteful number, since it uses less digits than its factorization.

34490203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77684 (or 77675 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34490203344 in words is "thirty-four billion, four hundred ninety million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3217 6434 9651 12868 19302 25736 28953 38604 51472 57906 74453 77208 115812 148906 154416 223359 231624 297812 446718 463248 595624 670077 893436 1191248 1340154 1786872 2680308 3573744 5360616 10721232 239515301 479030602 718545903 958061204 1437091806 1916122408 2155637709 2874183612 3832244816 4311275418 5748367224 8622550836 11496734448 17245101672 34490203344