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84941934 = 23711533469
BaseRepresentation
bin1010001000000…
…01110001101110
312220211111102120
411010001301232
5133221120214
612232333410
72050665060
oct504016156
9186744376
1084941934
1143a47150
1224544266
13147a08cc
14b3d1730
1576ccea9
hex5101c6e

84941934 has 64 divisors (see below), whose sum is σ = 215861760. Its totient is φ = 21640320.

The previous prime is 84941933. The next prime is 84941939. The reversal of 84941934 is 43914948.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84941933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22752 + ... + 26220.

It is an arithmetic number, because the mean of its divisors is an integer number (3372840).

Almost surely, 284941934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84941934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107930880).

84941934 is an abundant number, since it is smaller than the sum of its proper divisors (130919826).

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

84941934 is a wasteful number, since it uses less digits than its factorization.

84941934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545.

The product of its digits is 124416, while the sum is 42.

The square root of 84941934 is about 9216.3948483124. The cubic root of 84941934 is about 439.5828242866.

The spelling of 84941934 in words is "eighty-four million, nine hundred forty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 742 1113 1166 1749 2226 3469 3498 4081 6938 8162 10407 12243 20814 24283 24486 38159 48566 72849 76318 114477 145698 183857 228954 267113 367714 534226 551571 801339 1103142 1286999 1602678 2022427 2573998 3860997 4044854 6067281 7721994 12134562 14156989 28313978 42470967 84941934