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117044352 = 27355371
BaseRepresentation
bin1101111100111…
…11010010000000
322011020110200000
412332133102000
5214430404402
615340400000
72620601115
oct676372200
9264213600
10117044352
1160083177
1233246000
131b330819
141178a90c
15a41ec1c
hex6f9f480

117044352 has 192 divisors, whose sum is σ = 360884160. Its totient is φ = 37739520.

The previous prime is 117044297. The next prime is 117044353. The reversal of 117044352 is 253440711.

117044352 is a `hidden beast` number, since 1 + 170 + 443 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1170443523 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117044353) 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, 1648477 + ... + 1648547.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2117044352 is an apocalyptic number.

117044352 is a gapful number since it is divisible by the number (12) 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 117044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

117044352 is an abundant number, since it is smaller than the sum of its proper divisors (243839808).

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

117044352 is an frugal number, since it uses more digits than its factorization.

117044352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 117044352 is about 10818.7038040608. The cubic root of 117044352 is about 489.1591186796.

The spelling of 117044352 in words is "one hundred seventeen million, forty-four thousand, three hundred fifty-two".