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343140004564 = 22724144995101
BaseRepresentation
bin1001111111001001011…
…11001111001011010100
31012210201000110022201221
410333210233033023110
521110222320121224
6421345241100124
733535220625400
oct4774457171324
91183630408657
10343140004564
11122585650235
1256604a87644
13264865a4b26
141287275c100
158dd4b926e4
hex4fe4bcf2d4

343140004564 has 72 divisors (see below), whose sum is σ = 717173692200. Its totient is φ = 143152128000.

The previous prime is 343140004547. The next prime is 343140004583. The reversal of 343140004564 is 465400041343.

It can be written as a sum of positive squares in 4 ways, for example, as 1041352900 + 342098651664 = 32270^2 + 584892^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3560614 + ... + 3655714.

It is an arithmetic number, because the mean of its divisors is an integer number (9960745725).

Almost surely, 2343140004564 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 343140004564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358586846100).

343140004564 is an abundant number, since it is smaller than the sum of its proper divisors (374033687636).

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

343140004564 is a wasteful number, since it uses less digits than its factorization.

343140004564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95609 (or 95600 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 343140004564 in words is "three hundred forty-three billion, one hundred forty million, four thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 449 574 898 1148 1796 2009 3143 4018 6286 8036 12572 18409 22001 36818 44002 73636 88004 95101 128863 190202 257726 380404 515452 665707 902041 1331414 1804082 2662828 3608164 3899141 4659949 7798282 9319898 15596564 18639796 27293987 42700349 54587974 85400698 109175948 170801396 191057909 298902443 382115818 597804886 764231636 1195609772 1750714309 2092317101 3501428618 4184634202 7002857236 8369268404 12255000163 24510000326 49020000652 85785001141 171570002282 343140004564