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345505524 = 223713417717
BaseRepresentation
bin10100100101111…
…111111011110100
3220002010111110220
4110211333323310
51201422134044
654141214340
711363514510
oct2445777364
9802114426
10345505524
11168035461
12978613b0
1356771550
1433c5b140
15204ec019
hex1497fef4

345505524 has 96 divisors (see below), whose sum is σ = 1016553216. Its totient is φ = 88888320.

The previous prime is 345505493. The next prime is 345505541. The reversal of 345505524 is 425505543.

It is a super-2 number, since 2×3455055242 = 238748134229029152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40914 + ... + 48630.

It is an arithmetic number, because the mean of its divisors is an integer number (10589096).

Almost surely, 2345505524 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 345505524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508276608).

345505524 is an abundant number, since it is smaller than the sum of its proper divisors (671047692).

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

345505524 is a wasteful number, since it uses less digits than its factorization.

345505524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The square root of 345505524 is about 18587.7788882911. The cubic root of 345505524 is about 701.7003046997.

The spelling of 345505524 in words is "three hundred forty-five million, five hundred five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 492 533 546 574 861 1066 1092 1148 1599 1722 2132 3198 3444 3731 6396 7462 7717 11193 14924 15434 22386 23151 30868 44772 46302 54019 92604 100321 108038 162057 200642 216076 300963 316397 324114 401284 601926 632794 648228 702247 949191 1203852 1265588 1404494 1898382 2106741 2214779 2808988 3796764 4113161 4213482 4429558 6644337 8226322 8426964 8859116 12339483 13288674 16452644 24678966 26577348 28792127 49357932 57584254 86376381 115168508 172752762 345505524