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385084740 = 223559181601
BaseRepresentation
bin10110111100111…
…110110101000100
3222211121022221210
4112330332311010
51242040202430
6102113411420
712354111015
oct2674766504
9884538853
10385084740
11188408957
12a8b69b70
1361a1b6c1
143920100c
1523c192b0
hex16f3ed44

385084740 has 96 divisors (see below), whose sum is σ = 1104405120. Its totient is φ = 100224000.

The previous prime is 385084727. The next prime is 385084741. The reversal of 385084740 is 47480583.

It is not an unprimeable number, because it can be changed into a prime (385084741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640440 + ... + 641040.

It is an arithmetic number, because the mean of its divisors is an integer number (11504220).

Almost surely, 2385084740 is an apocalyptic number.

385084740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385084740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552202560).

385084740 is an abundant number, since it is smaller than the sum of its proper divisors (719320380).

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

385084740 is a wasteful number, since it uses less digits than its factorization.

385084740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 385084740 is about 19623.5761266901. The cubic root of 385084740 is about 727.5320045910.

The spelling of 385084740 in words is "three hundred eighty-five million, eighty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 181 236 295 354 362 543 590 601 708 724 885 905 1086 1180 1202 1770 1803 1810 2172 2404 2715 3005 3540 3606 3620 5430 6010 7212 9015 10679 10860 12020 18030 21358 32037 35459 36060 42716 53395 64074 70918 106377 106790 108781 128148 141836 160185 177295 212754 213580 217562 320370 326343 354590 425508 435124 531885 543905 640740 652686 709180 1063770 1087810 1305372 1631715 2127540 2175620 3263430 6418079 6526860 12836158 19254237 25672316 32090395 38508474 64180790 77016948 96271185 128361580 192542370 385084740