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345601956 = 223723414363
BaseRepresentation
bin10100100110010…
…111011110100100
3220002022101202110
4110212113132210
51201433230311
654143241020
711364365610
oct2446273644
9802271673
10345601956
111680a0957
12978a9170
13567a63cb
1433c84340
152051a8a6
hex149977a4

345601956 has 96 divisors (see below), whose sum is σ = 985356288. Its totient is φ = 92125440.

The previous prime is 345601931. The next prime is 345601967. The reversal of 345601956 is 659106543.

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, 77031 + ... + 81393.

It is an arithmetic number, because the mean of its divisors is an integer number (10264128).

Almost surely, 2345601956 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 345601956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492678144).

345601956 is an abundant number, since it is smaller than the sum of its proper divisors (639754332).

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

345601956 is a wasteful number, since it uses less digits than its factorization.

345601956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 345601956 is about 18590.3726697450. The cubic root of 345601956 is about 701.7655810988.

The spelling of 345601956 in words is "three hundred forty-five million, six hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 41 42 46 69 82 84 92 123 138 161 164 246 276 287 322 483 492 574 644 861 943 966 1148 1722 1886 1932 2829 3444 3772 4363 5658 6601 8726 11316 13089 13202 17452 19803 26178 26404 30541 39606 52356 61082 79212 91623 100349 122164 178883 183246 200698 301047 357766 366492 401396 536649 602094 702443 715532 1073298 1204188 1252181 1404886 2107329 2146596 2504362 2809772 3756543 4114309 4214658 5008724 7513086 8228618 8429316 12342927 15026172 16457236 24685854 28800163 49371708 57600326 86400489 115200652 172800978 345601956