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89734344 = 2337717523
BaseRepresentation
bin1010101100100…
…11110011001000
320020211222101020
411112103303020
5140432444334
612523152440
72136505110
oct526236310
9206758336
1089734344
114671a817
1226075720
131578b05b
14bcbc040
157d27e49
hex5593cc8

89734344 has 64 divisors (see below), whose sum is σ = 260029440. Its totient is φ = 25273920.

The previous prime is 89734331. The next prime is 89734387. The reversal of 89734344 is 44343798.

It is a super-2 number, since 2×897343442 = 16104504986220672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 89734296 and 89734305.

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 15 ways as a sum of consecutive naturals, for example, 8167 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 289734344 is an apocalyptic number.

89734344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89734344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130014720).

89734344 is an abundant number, since it is smaller than the sum of its proper divisors (170295096).

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

89734344 is a wasteful number, since it uses less digits than its factorization.

89734344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7606 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 89734344 is about 9472.8213326337. The cubic root of 89734344 is about 447.6991097142.

The spelling of 89734344 in words is "eighty-nine million, seven hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 7523 11928 15046 22569 30092 45138 52661 60184 90276 105322 157983 180552 210644 315966 421288 534133 631932 1068266 1263864 1602399 2136532 3204798 3738931 4273064 6409596 7477862 11216793 12819192 14955724 22433586 29911448 44867172 89734344