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344867940 = 223251915933
BaseRepresentation
bin10100100011100…
…100010001100100
3220000221002212200
4110203210101210
51201241233230
654115414500
711355220614
oct2443442144
9800832780
10344867940
1116773a42a
12975b4430
13565aa291
1433b32a44
1520423160
hex148e4464

344867940 has 36 divisors (see below), whose sum is σ = 1046099964. Its totient is φ = 91964736.

The previous prime is 344867923. The next prime is 344867947. The reversal of 344867940 is 49768443.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 283652964 = 7824^2 + 16842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (344867947) 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 11 ways as a sum of consecutive naturals, for example, 957787 + ... + 958146.

Almost surely, 2344867940 is an apocalyptic number.

344867940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344867940 is an abundant number, since it is smaller than the sum of its proper divisors (701232024).

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

344867940 is a wasteful number, since it uses less digits than its factorization.

344867940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915948 (or 1915943 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 344867940 is about 18570.6203450504. The cubic root of 344867940 is about 701.2684077260.

The spelling of 344867940 in words is "three hundred forty-four million, eight hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1915933 3831866 5747799 7663732 9579665 11495598 17243397 19159330 22991196 28738995 34486794 38318660 57477990 68973588 86216985 114955980 172433970 344867940