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107360344 = 23713891657
BaseRepresentation
bin1100110011000…
…11000001011000
321111000110201001
412121203001120
5204441012334
614353034344
72442355630
oct631430130
9244013631
10107360344
1155669463
122bb559b4
131931ca40
14103896c0
15965a714
hex6663058

107360344 has 64 divisors (see below), whose sum is σ = 250689600. Its totient is φ = 41969664.

The previous prime is 107360333. The next prime is 107360369. The reversal of 107360344 is 443063701.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 63964 + ... + 65620.

It is an arithmetic number, because the mean of its divisors is an integer number (3917025).

Almost surely, 2107360344 is an apocalyptic number.

107360344 is a gapful number since it is divisible by the number (14) 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 107360344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125344800).

107360344 is an abundant number, since it is smaller than the sum of its proper divisors (143329256).

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

107360344 is a wasteful number, since it uses less digits than its factorization.

107360344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 107360344 is about 10361.4836775435. The cubic root of 107360344 is about 475.2782768300.

The spelling of 107360344 in words is "one hundred seven million, three hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 89 91 104 178 182 356 364 623 712 728 1157 1246 1657 2314 2492 3314 4628 4984 6628 8099 9256 11599 13256 16198 21541 23198 32396 43082 46396 64792 86164 92792 147473 150787 172328 294946 301574 589892 603148 1032311 1179784 1206296 1917149 2064622 3834298 4129244 7668596 8258488 13420043 15337192 26840086 53680172 107360344