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385830340 = 225719314679
BaseRepresentation
bin10110111111110…
…100110111000100
3222220000012201121
4112333310313010
51242233032330
6102141403324
712363334540
oct2677646704
9886005647
10385830340
11188878055
12a9269544
1361c1cb9c
1439356a20
1523d1517a
hex16ff4dc4

385830340 has 96 divisors (see below), whose sum is σ = 1006387200. Its totient is φ = 121253760.

The previous prime is 385830329. The next prime is 385830343. The reversal of 385830340 is 43038583.

It is a junction number, because it is equal to n+sod(n) for n = 385830296 and 385830305.

It is not an unprimeable number, because it can be changed into a prime (385830343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80121 + ... + 84799.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2385830340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385830340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

385830340 is an abundant number, since it is smaller than the sum of its proper divisors (620556860).

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

385830340 is a wasteful number, since it uses less digits than its factorization.

385830340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 385830340 is about 19642.5644965213. The cubic root of 385830340 is about 728.0012503501.

The spelling of 385830340 in words is "three hundred eighty-five million, eight hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 1085 1178 1330 2170 2356 2660 2945 4123 4340 4679 5890 8246 9358 11780 16492 18716 20615 23395 32753 41230 46790 65506 82460 88901 93580 131012 145049 163765 177802 290098 327530 355604 444505 580196 622307 655060 725245 889010 1015343 1244614 1450490 1778020 2030686 2489228 2755931 2900980 3111535 4061372 5076715 5511862 6223070 10153430 11023724 12446140 13779655 19291517 20306860 27559310 38583034 55118620 77166068 96457585 192915170 385830340