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100344384 = 2632741607
BaseRepresentation
bin1011111101100…
…10001001000000
320222211000121200
411332302021000
5201142010014
613542421200
72325625140
oct576621100
9228730550
10100344384
1151707248
1229731800
1317a3449a
14d480920
158c21a09
hex5fb2240

100344384 has 168 divisors, whose sum is σ = 337279488. Its totient is φ = 27924480.

The previous prime is 100344347. The next prime is 100344397. The reversal of 100344384 is 483443001.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165009 + ... + 165615.

It is an arithmetic number, because the mean of its divisors is an integer number (2007616).

Almost surely, 2100344384 is an apocalyptic number.

100344384 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 100344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168639744).

100344384 is an abundant number, since it is smaller than the sum of its proper divisors (236935104).

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

100344384 is a wasteful number, since it uses less digits than its factorization.

100344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 100344384 is about 10017.2044004303. The cubic root of 100344384 is about 464.6911025118.

Adding to 100344384 its reverse (483443001), we get a palindrome (583787385).

The spelling of 100344384 in words is "one hundred million, three hundred forty-four thousand, three hundred eighty-four".