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100434440 = 2352639547
BaseRepresentation
bin1011111110010…
…00001000001000
320222222121011002
411333020020020
5201202400230
613544354132
72326451531
oct577101010
9228877132
10100434440
1151768977
1229775948
1317a66482
14d4a5688
158c3d545
hex5fc8208

100434440 has 32 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 40016832.

The previous prime is 100434431. The next prime is 100434443. The reversal of 100434440 is 44434001.

It is a super-2 number, since 2×1004344402 = 20174153476227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100434443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5747 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2100434440 is an apocalyptic number.

100434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434440 is an abundant number, since it is smaller than the sum of its proper divisors (126426040).

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

100434440 is a wasteful number, since it uses less digits than its factorization.

100434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 100434440 is about 10021.6984588442. The cubic root of 100434440 is about 464.8300762717.

Adding to 100434440 its reverse (44434001), we get a palindrome (144868441).

The spelling of 100434440 in words is "one hundred million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2630 5260 9547 10520 19094 38188 47735 76376 95470 190940 381880 2510861 5021722 10043444 12554305 20086888 25108610 50217220 100434440