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345250728 = 23336126203
BaseRepresentation
bin10100100101000…
…001101110101000
3220001122112222000
4110211001232220
51201341010403
654131531000
711361403614
oct2445015650
9801575860
10345250728
11167980a89
1297759a60
13566b2594
1433bd2344
152049b7a3
hex14941ba8

345250728 has 64 divisors (see below), whose sum is σ = 974788800. Its totient is φ = 113192640.

The previous prime is 345250699. The next prime is 345250757. The reversal of 345250728 is 827052543.

It is an interprime number because it is at equal distance from previous prime (345250699) and next prime (345250757).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 345250692 and 345250701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75 + ... + 26277.

It is an arithmetic number, because the mean of its divisors is an integer number (15231075).

Almost surely, 2345250728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345250728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487394400).

345250728 is an abundant number, since it is smaller than the sum of its proper divisors (629538072).

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

345250728 is a wasteful number, since it uses less digits than its factorization.

345250728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26279 (or 26269 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 345250728 is about 18580.9237660564. The cubic root of 345250728 is about 701.5277706527.

The spelling of 345250728 in words is "three hundred forty-five million, two hundred fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 26203 52406 78609 104812 157218 209624 235827 314436 471654 628872 707481 943308 1414962 1598383 1886616 2829924 3196766 4795149 5659848 6393532 9590298 12787064 14385447 19180596 28770894 38361192 43156341 57541788 86312682 115083576 172625364 345250728