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383085045 = 3457163829
BaseRepresentation
bin10110110101010…
…110100111110101
3222200211201220000
4112311112213311
51241032210140
6102002501513
712331112010
oct2665264765
9880751800
10383085045
11187272512
12a8364899
136149b455
1438c40377
1523971a30
hex16d569f5

383085045 has 80 divisors (see below), whose sum is σ = 790584960. Its totient is φ = 173840256.

The previous prime is 383085019. The next prime is 383085061. The reversal of 383085045 is 540580383.

It is not a de Polignac number, because 383085045 - 26 = 383084981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 461691 + ... + 462519.

It is an arithmetic number, because the mean of its divisors is an integer number (9882312).

Almost surely, 2383085045 is an apocalyptic number.

383085045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

383085045 is an abundant number, since it is smaller than the sum of its proper divisors (407499915).

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

383085045 is a wasteful number, since it uses less digits than its factorization.

383085045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 383085045 is about 19572.5584684272. The cubic root of 383085045 is about 726.2704920636.

The spelling of 383085045 in words is "three hundred eighty-three million, eighty-five thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 163 189 315 405 489 567 815 829 945 1141 1467 2445 2487 2835 3423 4145 4401 5705 5803 7335 7461 10269 12435 13203 17115 17409 22005 22383 29015 30807 37305 51345 52227 66015 67149 87045 92421 111915 135127 154035 156681 261135 335745 405381 462105 470043 675635 783405 945889 1216143 2026905 2350215 2837667 3648429 4729445 6080715 8513001 10945287 14188335 18242145 25539003 42565005 54726435 76617009 127695015 383085045