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100434340 = 22567241311
BaseRepresentation
bin1011111110010…
…00000110100100
320222222121000101
411333020012210
5201202344330
613544353444
72326451326
oct577100644
9228877011
10100434340
1151768896
1229775884
1317a66406
14d4a5616
158c3d4ca
hex5fc81a4

100434340 has 48 divisors (see below), whose sum is σ = 215639424. Its totient is φ = 39283200.

The previous prime is 100434331. The next prime is 100434403. The reversal of 100434340 is 43434001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322785 + ... + 323095.

It is an arithmetic number, because the mean of its divisors is an integer number (4492488).

Almost surely, 2100434340 is an apocalyptic number.

100434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434340 is an abundant number, since it is smaller than the sum of its proper divisors (115205084).

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

100434340 is a wasteful number, since it uses less digits than its factorization.

100434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

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

The square root of 100434340 is about 10021.6934696687. The cubic root of 100434340 is about 464.8299219986.

Adding to 100434340 its reverse (43434001), we get a palindrome (143868341).

It can be divided in two parts, 1004 and 34340, that added together give a square (35344 = 1882).

The spelling of 100434340 in words is "one hundred million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 67 134 241 268 311 335 482 622 670 964 1205 1244 1340 1555 2410 3110 4820 6220 16147 20837 32294 41674 64588 74951 80735 83348 104185 149902 161470 208370 299804 322940 374755 416740 749510 1499020 5021717 10043434 20086868 25108585 50217170 100434340