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84406374 = 2341323083
BaseRepresentation
bin1010000011111…
…11000001100110
312212211021210000
411001333001212
5133102000444
612213042130
72043304503
oct501770146
9185737700
1084406374
1143710838
1224326346
1314643c00
14b2d24aa
157624469
hex507f066

84406374 has 60 divisors (see below), whose sum is σ = 204867036. Its totient is φ = 25962768.

The previous prime is 84406351. The next prime is 84406391. The reversal of 84406374 is 47360448.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25837 + ... + 28919.

Almost surely, 284406374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84406374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102433518).

84406374 is an abundant number, since it is smaller than the sum of its proper divisors (120460662).

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

84406374 is a wasteful number, since it uses less digits than its factorization.

84406374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 84406374 is about 9187.2941609595. The cubic root of 84406374 is about 438.6570173330.

The spelling of 84406374 in words is "eighty-four million, four hundred six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 3083 4563 6166 9126 9249 13689 18498 27378 27747 40079 55494 80158 83241 120237 166482 240474 249723 360711 499446 521027 721422 1042054 1082133 1563081 2164266 3126162 3246399 4689243 6492798 9378486 14067729 28135458 42203187 84406374