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107403384 = 233112571583
BaseRepresentation
bin1100110011011…
…01100001111000
321111002122202010
412121231201320
5204443402014
614354005520
72442625254
oct631554170
9244078663
10107403384
1155698830
122bb768a0
13193364ca
141039b264
159668359
hex666d878

107403384 has 64 divisors (see below), whose sum is σ = 294243840. Its totient is φ = 32399360.

The previous prime is 107403383. The next prime is 107403389. The reversal of 107403384 is 483304701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107403383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67057 + ... + 68639.

It is an arithmetic number, because the mean of its divisors is an integer number (4597560).

Almost surely, 2107403384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107403384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147121920).

107403384 is an abundant number, since it is smaller than the sum of its proper divisors (186840456).

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

107403384 is a wasteful number, since it uses less digits than its factorization.

107403384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 107403384 is about 10363.5603920660. The cubic root of 107403384 is about 475.3417802408.

The spelling of 107403384 in words is "one hundred seven million, four hundred three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 514 771 1028 1542 1583 2056 2827 3084 3166 4749 5654 6168 6332 8481 9498 11308 12664 16962 17413 18996 22616 33924 34826 37992 52239 67848 69652 104478 139304 208956 406831 417912 813662 1220493 1627324 2440986 3254648 4475141 4881972 8950282 9763944 13425423 17900564 26850846 35801128 53701692 107403384