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385517340 = 223351354917
BaseRepresentation
bin10110111110101…
…000011100011100
3222212102022101000
4112332220130130
51242143023330
6102130550300
712360562155
oct2676503434
9885368330
10385517340
1118868397a
12a9138390
1361b40590
14392b492c
1523ca2560
hex16fa871c

385517340 has 96 divisors (see below), whose sum is σ = 1291671360. Its totient is φ = 94894848.

The previous prime is 385517339. The next prime is 385517351. The reversal of 385517340 is 43715583.

385517340 is a `hidden beast` number, since 38 + 551 + 73 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 385517295 and 385517304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20439 + ... + 34478.

It is an arithmetic number, because the mean of its divisors is an integer number (13454910).

Almost surely, 2385517340 is an apocalyptic number.

385517340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385517340 is an abundant number, since it is smaller than the sum of its proper divisors (906154020).

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

385517340 is a wasteful number, since it uses less digits than its factorization.

385517340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54948 (or 54940 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 385517340 is about 19634.5954885758. The cubic root of 385517340 is about 727.8043364798.

The spelling of 385517340 in words is "three hundred eighty-five million, five hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 54917 109834 164751 219668 274585 329502 494253 549170 659004 713921 823755 988506 1098340 1427842 1482759 1647510 1977012 2141763 2471265 2855684 2965518 3295020 3569605 4283526 4942530 5931036 6425289 7139210 7413795 8567052 9885060 10708815 12850578 14278420 14827590 19275867 21417630 25701156 29655180 32126445 38551734 42835260 64252890 77103468 96379335 128505780 192758670 385517340