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3438266013 = 3271329144763
BaseRepresentation
bin1100110011101111…
…1100011010011101
322212121201000021200
43030323330122131
524020144003023
61325101550113
7151126531110
oct31473743235
98777630250
103438266013
1115048a2166
127bb575339
1342a433340
142488cc577
15151cb5743
hexccefc69d

3438266013 has 48 divisors (see below), whose sum is σ = 6323291520. Its totient is φ = 1751041152.

The previous prime is 3438266009. The next prime is 3438266023. The reversal of 3438266013 is 3106628343.

3438266013 is a `hidden beast` number, since 3 + 43 + 8 + 2 + 6 + 601 + 3 = 666.

It is not a de Polignac number, because 3438266013 - 22 = 3438266009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438266023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48631 + ... + 96132.

It is an arithmetic number, because the mean of its divisors is an integer number (131735240).

Almost surely, 23438266013 is an apocalyptic number.

It is an amenable number.

3438266013 is a deficient number, since it is larger than the sum of its proper divisors (2885025507).

3438266013 is a wasteful number, since it uses less digits than its factorization.

3438266013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144818 (or 144815 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3438266013 is about 58636.7292147166. The cubic root of 3438266013 is about 1509.3147795219.

The spelling of 3438266013 in words is "three billion, four hundred thirty-eight million, two hundred sixty-six thousand, thirteen".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 203 261 273 377 609 819 1131 1827 2639 3393 7917 23751 144763 434289 1013341 1302867 1881919 3040023 4198127 5645757 9120069 12594381 13173433 16937271 29386889 37783143 39520299 54575651 88160667 118560897 163726953 264482001 382029557 491180859 1146088671 3438266013