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346277800113 = 372917312372657
BaseRepresentation
bin1010000100111111100…
…00111110100010110001
31020002210200202212000220
411002133300332202301
521133134104100423
6423024451003253
734006041510360
oct5023760764261
91202720685026
10346277800113
111239458774a3
125713b899529
13268666a419b
1412a8d3937d7
15901a3a49e3
hex509fc3e8b1

346277800113 has 64 divisors (see below), whose sum is σ = 549662492160. Its totient is φ = 189720502272.

The previous prime is 346277800093. The next prime is 346277800117. The reversal of 346277800113 is 311008772643.

It is not a de Polignac number, because 346277800113 - 213 = 346277791921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346277800117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130325281 + ... + 130327937.

It is an arithmetic number, because the mean of its divisors is an integer number (8588476440).

Almost surely, 2346277800113 is an apocalyptic number.

It is an amenable number.

346277800113 is a deficient number, since it is larger than the sum of its proper divisors (203384692047).

346277800113 is a wasteful number, since it uses less digits than its factorization.

346277800113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 346277800113 in words is "three hundred forty-six billion, two hundred seventy-seven million, eight hundred thousand, one hundred thirteen".

Divisors: 1 3 7 21 29 87 173 203 519 609 1211 1237 2657 3633 3711 5017 7971 8659 15051 18599 25977 35119 35873 55797 77053 105357 107619 214001 231159 251111 459661 539371 642003 753333 1378983 1498007 1618113 3217627 3286709 4494021 6206029 9652881 9860127 13330169 18618087 23006963 39990507 43442203 69020889 93311183 95314561 130326609 279933549 285943683 568600657 667201927 1705801971 2001605781 3980204599 11940613797 16489419053 49468257159 115425933371 346277800113