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345425520 = 243511130843
BaseRepresentation
bin10100100101101…
…100011001110000
3220001222102201210
4110211230121300
51201412104040
654135400120
711363032326
oct2445543160
9801872653
10345425520
11167a90340
1297823040
1356743ccb
1433c39d16
15204d3480
hex1496c670

345425520 has 80 divisors (see below), whose sum is σ = 1168175232. Its totient is φ = 83738880.

The previous prime is 345425501. The next prime is 345425551. The reversal of 345425520 is 25524543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62782 + ... + 68061.

Almost surely, 2345425520 is an apocalyptic number.

345425520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345425520 is an abundant number, since it is smaller than the sum of its proper divisors (822749712).

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

345425520 is a wasteful number, since it uses less digits than its factorization.

345425520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130870 (or 130864 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 345425520 is about 18585.6267045263. The cubic root of 345425520 is about 701.6461394636.

The spelling of 345425520 in words is "three hundred forty-five million, four hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 130843 261686 392529 523372 654215 785058 1046744 1308430 1439273 1570116 1962645 2093488 2616860 2878546 3140232 3925290 4317819 5233720 5757092 6280464 7196365 7850580 8635638 10467440 11514184 14392730 15701160 17271276 21589095 23028368 28785460 31402320 34542552 43178190 57570920 69085104 86356380 115141840 172712760 345425520