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385517040 = 24351606321
BaseRepresentation
bin10110111110101…
…000010111110000
3222212102021221220
4112332220113300
51242143021130
6102130545040
712360561246
oct2676502760
9885367856
10385517040
11188683727
12a9138180
1361b403bc
14392b4796
1523ca2410
hex16fa85f0

385517040 has 40 divisors (see below), whose sum is σ = 1195103568. Its totient is φ = 102804480.

The previous prime is 385517029. The next prime is 385517047. The reversal of 385517040 is 40715583.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 385516992 and 385517010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385517047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802921 + ... + 803400.

Almost surely, 2385517040 is an apocalyptic number.

385517040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385517040 is an abundant number, since it is smaller than the sum of its proper divisors (809586528).

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

385517040 is a wasteful number, since it uses less digits than its factorization.

385517040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606337 (or 1606331 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 385517040 is about 19634.5878489975. The cubic root of 385517040 is about 727.8041476934.

The spelling of 385517040 in words is "three hundred eighty-five million, five hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1606321 3212642 4818963 6425284 8031605 9637926 12850568 16063210 19275852 24094815 25701136 32126420 38551704 48189630 64252840 77103408 96379260 128505680 192758520 385517040