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344414440 = 23529296909
BaseRepresentation
bin10100100001110…
…101100011101000
3220000002001210101
4110201311203220
51201132230230
654101555144
711351321506
oct2441654350
9800061711
10344414440
1116745a737
1297415ab4
135647ba36
1433a55676
1520383aca
hex148758e8

344414440 has 32 divisors (see below), whose sum is σ = 801657000. Its totient is φ = 133014784.

The previous prime is 344414429. The next prime is 344414461. The reversal of 344414440 is 44414443.

It can be written as a sum of positive squares in 4 ways, for example, as 294259716 + 50154724 = 17154^2 + 7082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344414399 and 344414408.

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 7 ways as a sum of consecutive naturals, for example, 147295 + ... + 149614.

Almost surely, 2344414440 is an apocalyptic number.

It is an amenable number.

344414440 is an abundant number, since it is smaller than the sum of its proper divisors (457242560).

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

344414440 is a wasteful number, since it uses less digits than its factorization.

344414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296949 (or 296945 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 344414440 is about 18558.4061815663. The cubic root of 344414440 is about 700.9608844796.

Adding to 344414440 its reverse (44414443), we get a palindrome (388828883).

The spelling of 344414440 in words is "three hundred forty-four million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 296909 593818 1187636 1484545 2375272 2969090 5938180 8610361 11876360 17220722 34441444 43051805 68882888 86103610 172207220 344414440