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346312728 = 233212493851
BaseRepresentation
bin10100101001000…
…101000000011000
3220010122111202100
4110221011000120
51202124001403
654210403400
711403416046
oct2451050030
9803574670
10346312728
11168536973
1297b90560
1356994a98
1433dcb396
152060b2a3
hex14a45018

346312728 has 48 divisors (see below), whose sum is σ = 938925000. Its totient is φ = 115315200.

The previous prime is 346312709. The next prime is 346312741. The reversal of 346312728 is 827213643.

It is a happy number.

346312728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 346312692 and 346312701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88003 + ... + 91853.

Almost surely, 2346312728 is an apocalyptic number.

It is an amenable number.

346312728 is an abundant number, since it is smaller than the sum of its proper divisors (592612272).

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

346312728 is a wasteful number, since it uses less digits than its factorization.

346312728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5105 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 346312728 is about 18609.4795198576. The cubic root of 346312728 is about 702.2463401174.

The spelling of 346312728 in words is "three hundred forty-six million, three hundred twelve thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1249 2498 3747 3851 4996 7494 7702 9992 11241 11553 14988 15404 22482 23106 29976 30808 34659 44964 46212 69318 89928 92424 138636 277272 4809899 9619798 14429697 19239596 28859394 38479192 43289091 57718788 86578182 115437576 173156364 346312728