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345482228 = 2271317311801
BaseRepresentation
bin10100100101111…
…010001111110100
3220002002022112002
4110211322033310
51201420412403
654140514432
711363356550
oct2445721764
9802068462
10345482228
11168019a03
129784ba18
1356763a70
1433c52860
15204e5188
hex1497a3f4

345482228 has 96 divisors (see below), whose sum is σ = 813754368. Its totient is φ = 124416000.

The previous prime is 345482227. The next prime is 345482233. The reversal of 345482228 is 822284543.

It is a junction number, because it is equal to n+sod(n) for n = 345482191 and 345482200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345482227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190928 + ... + 192728.

It is an arithmetic number, because the mean of its divisors is an integer number (8476608).

Almost surely, 2345482228 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 345482228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406877184).

345482228 is an abundant number, since it is smaller than the sum of its proper divisors (468272140).

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

345482228 is a wasteful number, since it uses less digits than its factorization.

345482228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1871 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 345482228 is about 18587.1522294299. The cubic root of 345482228 is about 701.6845334346.

The spelling of 345482228 in words is "three hundred forty-five million, four hundred eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 52 62 68 91 119 124 182 217 221 238 364 403 434 442 476 527 806 868 884 1054 1547 1612 1801 2108 2821 3094 3602 3689 5642 6188 6851 7204 7378 11284 12607 13702 14756 23413 25214 27404 30617 46826 47957 50428 55831 61234 93652 95914 111662 122468 163891 191828 214319 223324 327782 390817 398021 428638 655564 725803 781634 796042 857276 949127 1451606 1563268 1592084 1898254 2786147 2903212 3796508 5080621 5572294 6643889 10161242 11144588 12338651 13287778 20322484 24677302 26575556 49354604 86370557 172741114 345482228