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3455295040 = 265106110177
BaseRepresentation
bin1100110111110011…
…1001111001000000
322220210202011201101
43031330321321000
524034023420130
61330510544144
7151424344321
oct31574717100
98823664641
103455295040
11151347333a
12805208054
13430b163a2
1424ac82448
1515352b1ca
hexcdf39e40

3455295040 has 56 divisors (see below), whose sum is σ = 8236485432. Its totient is φ = 1380679680.

The previous prime is 3455295029. The next prime is 3455295059. The reversal of 3455295040 is 405925543.

It can be written as a sum of positive squares in 4 ways, for example, as 744634944 + 2710660096 = 27288^2 + 52064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334432 + ... + 344608.

It is an arithmetic number, because the mean of its divisors is an integer number (147080097).

Almost surely, 23455295040 is an apocalyptic number.

It is an amenable number.

3455295040 is an abundant number, since it is smaller than the sum of its proper divisors (4781190392).

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

3455295040 is a wasteful number, since it uses less digits than its factorization.

3455295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255 (or 11245 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 3455295040 is about 58781.7577144474. The cubic root of 3455295040 is about 1511.8024526584.

The spelling of 3455295040 in words is "three billion, four hundred fifty-five million, two hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1061 2122 4244 5305 8488 10177 10610 16976 20354 21220 33952 40708 42440 50885 67904 81416 84880 101770 162832 169760 203540 325664 339520 407080 651328 814160 1628320 3256640 10797797 21595594 43191188 53988985 86382376 107977970 172764752 215955940 345529504 431911880 691059008 863823760 1727647520 3455295040