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345728280 = 23352939833
BaseRepresentation
bin10100100110110…
…110010100011000
3220002112211001010
4110212312110120
51202001301110
654150053520
711365433112
oct2446662430
9802484033
10345728280
11168177857
129794a2a0
135681ba61
1433cb83b2
1520543020
hex149b6518

345728280 has 64 divisors (see below), whose sum is σ = 1040830560. Its totient is φ = 91870208.

The previous prime is 345728263. The next prime is 345728291. The reversal of 345728280 is 82827543.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30244 + ... + 40076.

Almost surely, 2345728280 is an apocalyptic number.

345728280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345728280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520415280).

345728280 is an abundant number, since it is smaller than the sum of its proper divisors (695102280).

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

345728280 is a wasteful number, since it uses less digits than its factorization.

345728280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 345728280 is about 18593.7699243591. The cubic root of 345728280 is about 701.8510735127.

The spelling of 345728280 in words is "three hundred forty-five million, seven hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 8790 9833 11720 17580 19666 29499 35160 39332 49165 58998 78664 98330 117996 147495 196660 235992 294990 393320 589980 1179960 2881069 5762138 8643207 11524276 14405345 17286414 23048552 28810690 34572828 43216035 57621380 69145656 86432070 115242760 172864140 345728280