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342573472404 = 223261387740237
BaseRepresentation
bin1001111110000101111…
…10000101101010010100
31012202020112102111201100
410333002332011222110
521103042302104104
6421213122230100
733515201320212
oct4770276055224
91182215374640
10342573472404
11122314881239
12564871b5330
13263c60c67b7
141281b407cb2
158da0086139
hex4fc2f85a94

342573472404 has 72 divisors (see below), whose sum is σ = 880394402888. Its totient is φ = 112287409920.

The previous prime is 342573472399. The next prime is 342573472433. The reversal of 342573472404 is 404274375243.

342573472404 is a `hidden beast` number, since 3 + 4 + 2 + 573 + 4 + 72 + 4 + 0 + 4 = 666.

342573472404 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3269552400 + 339303920004 = 57180^2 + 582498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 342573472404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8493774 + ... + 8534010.

Almost surely, 2342573472404 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 342573472404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440197201444).

342573472404 is an abundant number, since it is smaller than the sum of its proper divisors (537820930484).

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

342573472404 is a wasteful number, since it uses less digits than its factorization.

342573472404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44185 (or 44180 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 45.

The spelling of 342573472404 in words is "three hundred forty-two billion, five hundred seventy-three million, four hundred seventy-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3877 7754 11631 15508 23262 34893 40237 46524 69786 80474 120711 139572 160948 236497 241422 362133 472994 482844 709491 724266 945988 1418982 1448532 2128473 2454457 2837964 4256946 4908914 7363371 8513892 9817828 14726742 22090113 29453484 44180226 88360452 155998849 311997698 467996547 623995396 935993094 1403989641 1871986188 2807979282 5615958564 9515929789 19031859578 28547789367 38063719156 57095578734 85643368101 114191157468 171286736202 342573472404