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100304344 = 23719313041
BaseRepresentation
bin1011111101010…
…00010111011000
320222201222200201
411332220113120
5201134214334
613541511544
72325400330
oct576502730
9228658621
10100304344
115168a158
12297125b4
1317a1c1aa
14d4700c0
158c14c14
hex5fa85d8

100304344 has 64 divisors (see below), whose sum is σ = 233625600. Its totient is φ = 39398400.

The previous prime is 100304341. The next prime is 100304371. The reversal of 100304344 is 443403001.

It is a super-2 number, since 2×1003043442 = 20121922850540672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100304341) 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, 31464 + ... + 34504.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2100304344 is an apocalyptic number.

100304344 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 100304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116812800).

100304344 is an abundant number, since it is smaller than the sum of its proper divisors (133321256).

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

100304344 is a wasteful number, since it uses less digits than its factorization.

100304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 100304344 is about 10015.2056394265. The cubic root of 100304344 is about 464.6292863731.

Adding to 100304344 its reverse (443403001), we get a palindrome (543707345).

The spelling of 100304344 in words is "one hundred million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 3041 4123 4712 6082 8246 12164 16492 21287 24328 32984 42574 57779 85148 94271 115558 170296 188542 231116 377084 404453 462232 659897 754168 808906 1319794 1617812 1791149 2639588 3235624 3582298 5279176 7164596 12538043 14329192 25076086 50152172 100304344