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3427710192 = 2432372113049
BaseRepresentation
bin1100110001001110…
…1011010011110000
322211212211201102100
43030103223103300
524004443211232
61324043420400
7150641025114
oct31423532360
98755751370
103427710192
1114a9942445
127b7b24700
134281a87aa
14247341744
15150dccc7c
hexcc4eb4f0

3427710192 has 120 divisors (see below), whose sum is σ = 9902032400. Its totient is φ = 1106058240.

The previous prime is 3427710163. The next prime is 3427710199. The reversal of 3427710192 is 2910177243.

3427710192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427710199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122684 + ... + 1125732.

Almost surely, 23427710192 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 3427710192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951016200).

3427710192 is an abundant number, since it is smaller than the sum of its proper divisors (6474322208).

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

3427710192 is a wasteful number, since it uses less digits than its factorization.

3427710192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3427710192 is about 58546.6497077331. The cubic root of 3427710192 is about 1507.7686136361.

The spelling of 3427710192 in words is "three billion, four hundred twenty-seven million, seven hundred ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 211 222 296 333 422 444 592 633 666 844 888 1266 1332 1688 1776 1899 2532 2664 3049 3376 3798 5064 5328 6098 7596 7807 9147 10128 12196 15192 15614 18294 23421 24392 27441 30384 31228 36588 46842 48784 54882 62456 70263 73176 93684 109764 112813 124912 140526 146352 187368 219528 225626 281052 338439 374736 439056 451252 562104 643339 676878 902504 1015317 1124208 1286678 1353756 1805008 1930017 2030634 2573356 2707512 3860034 4061268 5146712 5415024 5790051 7720068 8122536 10293424 11580102 15440136 16245072 23160204 23803543 30880272 46320408 47607086 71410629 92640816 95214172 142821258 190428344 214231887 285642516 380856688 428463774 571285032 856927548 1142570064 1713855096 3427710192