Search a number
-
+
84304974 = 23132711171
BaseRepresentation
bin1010000011001…
…10010001001110
312212122010200110
411001212101032
5133040224344
612210540450
72042403045
oct501462116
9185563613
1084304974
1143651636
1224297726
1314609a00
14b2a755c
1576043b9
hex506644e

84304974 has 48 divisors (see below), whose sum is σ = 185307264. Its totient is φ = 25552800.

The previous prime is 84304967. The next prime is 84305017. The reversal of 84304974 is 47940348.

It is a super-2 number, since 2×843049742 = 14214657282281352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71409 + ... + 72579.

It is an arithmetic number, because the mean of its divisors is an integer number (3860568).

Almost surely, 284304974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84304974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92653632).

84304974 is an abundant number, since it is smaller than the sum of its proper divisors (101002290).

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

84304974 is a wasteful number, since it uses less digits than its factorization.

84304974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 84304974 is about 9181.7740115949. The cubic root of 84304974 is about 438.4812895097.

The spelling of 84304974 in words is "eighty-four million, three hundred four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 338 426 507 923 1014 1171 1846 2342 2769 3513 5538 7026 11999 15223 23998 30446 35997 45669 71994 83141 91338 166282 197899 249423 395798 498846 593697 1080833 1187394 2161666 3242499 6484998 14050829 28101658 42152487 84304974