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107324352 = 263567103
BaseRepresentation
bin1100110010110…
…10001111000000
321110221122100000
412121122033000
5204433334402
614352200000
72442145662
oct631321700
9243848300
10107324352
1155644413
122bb39000
1319309545
141037a532
15964ec1c
hex665a3c0

107324352 has 168 divisors, whose sum is σ = 326924416. Its totient is φ = 34898688.

The previous prime is 107324351. The next prime is 107324443. The reversal of 107324352 is 253423701.

107324352 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107324351) 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, 1041933 + ... + 1042035.

Almost surely, 2107324352 is an apocalyptic number.

107324352 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 107324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163462208).

107324352 is an abundant number, since it is smaller than the sum of its proper divisors (219600064).

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

107324352 is an equidigital number, since it uses as much as digits as its factorization.

107324352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 107324352 is about 10359.7467150505. The cubic root of 107324352 is about 475.2251593658.

It can be divided in two parts, 1073 and 24352, that added together give a triangular number (25425 = T225).

The spelling of 107324352 in words is "one hundred seven million, three hundred twenty-four thousand, three hundred fifty-two".