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345282372 = 223337711217
BaseRepresentation
bin10100100101001…
…001011101000100
3220001201011101000
4110211021131010
51201343013442
654132333300
711361565101
oct2445113504
9801634330
10345282372
111679a2836
1297774230
13566c3ac6
1433bddaa8
15204a5d4c
hex14949744

345282372 has 96 divisors (see below), whose sum is σ = 933085440. Its totient is φ = 110315520.

The previous prime is 345282341. The next prime is 345282451. The reversal of 345282372 is 273282543.

345282372 is a `hidden beast` number, since 3 + 4 + 5 + 282 + 372 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283108 + ... + 284324.

It is an arithmetic number, because the mean of its divisors is an integer number (9719640).

Almost surely, 2345282372 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 345282372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466542720).

345282372 is an abundant number, since it is smaller than the sum of its proper divisors (587803068).

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

345282372 is a wasteful number, since it uses less digits than its factorization.

345282372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 345282372 is about 18581.7752650278. The cubic root of 345282372 is about 701.5492028706.

The spelling of 345282372 in words is "three hundred forty-five million, two hundred eighty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 108 111 142 148 213 222 284 333 426 444 639 666 852 999 1217 1278 1332 1917 1998 2434 2556 2627 3651 3834 3996 4868 5254 7302 7668 7881 10508 10953 14604 15762 21906 23643 31524 32859 43812 45029 47286 65718 70929 86407 90058 94572 131436 135087 141858 172814 180116 259221 270174 283716 345628 405261 518442 540348 777663 810522 1036884 1215783 1555326 1621044 2332989 2431566 3110652 3197059 4665978 4863132 6394118 9331956 9591177 12788236 19182354 28773531 38364708 57547062 86320593 115094124 172641186 345282372