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117348000 = 25353711127
BaseRepresentation
bin1101111111010…
…01011010100000
322011210220012020
412333221122200
5220020114000
615351101440
72623304310
oct677513240
9264726166
10117348000
1160270320
1233371880
131b408ab3
1411829440
15a47eba0
hex6fe96a0

117348000 has 384 divisors, whose sum is σ = 483065856. Its totient is φ = 24192000.

The previous prime is 117347977. The next prime is 117348017. The reversal of 117348000 is 843711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923937 + ... + 924063.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 2117348000 is an apocalyptic number.

117348000 is a gapful number since it is divisible by the number (10) 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 117348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241532928).

117348000 is an abundant number, since it is smaller than the sum of its proper divisors (365717856).

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

117348000 is a wasteful number, since it uses less digits than its factorization.

117348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 117348000 is about 10832.7281882266. The cubic root of 117348000 is about 489.5817616770.

The spelling of 117348000 in words is "one hundred seventeen million, three hundred forty-eight thousand".