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414645045 = 351729471193
BaseRepresentation
bin11000101101101…
…111101100110101
31001220020011001220
4120231233230311
51322122120140
6105051140553
713163265453
oct3055575465
91056204056
10414645045
111a3068a61
12b6a44759
1367b9b4c9
143d0d79d3
1526607bd0
hex18b6fb35

414645045 has 64 divisors (see below), whose sum is σ = 742763520. Its totient is φ = 196517888.

The previous prime is 414645031. The next prime is 414645053. The reversal of 414645045 is 540546414.

It is a cyclic number.

It is not a de Polignac number, because 414645045 - 24 = 414645029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414644997 and 414645015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346969 + ... + 348161.

It is an arithmetic number, because the mean of its divisors is an integer number (11605680).

Almost surely, 2414645045 is an apocalyptic number.

It is an amenable number.

414645045 is a deficient number, since it is larger than the sum of its proper divisors (328118475).

414645045 is a wasteful number, since it uses less digits than its factorization.

414645045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 414645045 is about 20362.8348959569. The cubic root of 414645045 is about 745.6908715205.

The spelling of 414645045 in words is "four hundred fourteen million, six hundred forty-five thousand, forty-five".

Divisors: 1 3 5 15 17 29 47 51 85 87 141 145 235 255 435 493 705 799 1193 1363 1479 2397 2465 3579 3995 4089 5965 6815 7395 11985 17895 20281 20445 23171 34597 56071 60843 69513 101405 103791 115855 168213 172985 280355 304215 347565 518955 588149 841065 953207 1626059 1764447 2859621 2940745 4766035 4878177 8130295 8822235 14298105 24390885 27643003 82929009 138215015 414645045