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344224431 = 33375872
BaseRepresentation
bin10100100001000…
…111001010101111
3212222201102011000
4110201013022233
51201110140211
654053531343
711346600525
oct2441071257
9788642130
10344224431
1116733aa01
1297343b53
13564133c5
1433a06315
1520347656
hex148472af

344224431 has 24 divisors (see below), whose sum is σ = 524638640. Its totient is φ = 222900336.

The previous prime is 344224427. The next prime is 344224451. The reversal of 344224431 is 134422443.

It is a happy number.

344224431 is a `hidden beast` number, since 3 + 4 + 4 + 224 + 431 = 666.

It is not a de Polignac number, because 344224431 - 22 = 344224427 is a prime.

It is a super-2 number, since 2×3442244312 = 236980917794547522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344224395 and 344224404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344224411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586120 + ... + 586706.

Almost surely, 2344224431 is an apocalyptic number.

344224431 is a deficient number, since it is larger than the sum of its proper divisors (180414209).

344224431 is an frugal number, since it uses more digits than its factorization.

344224431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 627 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 344224431 is about 18553.2862587737. The cubic root of 344224431 is about 700.8319570774.

Adding to 344224431 its reverse (134422443), we get a palindrome (478646874).

The spelling of 344224431 in words is "three hundred forty-four million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 587 999 1761 5283 15849 21719 65157 195471 344569 586413 1033707 3101121 9303363 12749053 38247159 114741477 344224431