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34320141198 = 23272677101749
BaseRepresentation
bin11111111101101000…
…111100101110001110
310021120211101210222200
4133331220330232032
51030241424004243
623433315422330
72323325246460
oct377550745616
9107524353880
1034320141198
1113611909062
1267998b49a6
13330c417075
1419380d6130
15d5d03aad3
hex7fda3cb8e

34320141198 has 48 divisors (see below), whose sum is σ = 85015788000. Its totient is φ = 9801995328.

The previous prime is 34320141197. The next prime is 34320141203. The reversal of 34320141198 is 89114102343.

34320141198 is a `hidden beast` number, since 3 + 4 + 320 + 141 + 198 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320141197) by changing a digit.

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, 286428 + ... + 388176.

It is an arithmetic number, because the mean of its divisors is an integer number (1771162250).

Almost surely, 234320141198 is an apocalyptic number.

34320141198 is an abundant number, since it is smaller than the sum of its proper divisors (50695646802).

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

34320141198 is a wasteful number, since it uses less digits than its factorization.

34320141198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104441 (or 104438 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 34320141198 in words is "thirty-four billion, three hundred twenty million, one hundred forty-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2677 5354 8031 16062 18739 24093 37478 48186 56217 101749 112434 168651 203498 305247 337302 610494 712243 915741 1424486 1831482 2136729 4273458 6410187 12820374 272382073 544764146 817146219 1634292438 1906674511 2451438657 3813349022 4902877314 5720023533 11440047066 17160070599 34320141198