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3085371840 = 263514092281
BaseRepresentation
bin1011011111100111…
…0000100111000000
321222000200010111010
42313321300213000
522304323344330
61230054120520
7136313141115
oct26771604700
97860603433
103085371840
111343680591
12721350140
133a22a5a15
14213aaa90c
15130d093b0
hexb7e709c0

3085371840 has 112 divisors (see below), whose sum is σ = 9807305760. Its totient is φ = 821821440.

The previous prime is 3085371827. The next prime is 3085371847. The reversal of 3085371840 is 481735803.

3085371840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085371847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351500 + ... + 1353780.

It is an arithmetic number, because the mean of its divisors is an integer number (87565230).

Almost surely, 23085371840 is an apocalyptic number.

3085371840 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 3085371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903652880).

3085371840 is an abundant number, since it is smaller than the sum of its proper divisors (6721933920).

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

3085371840 is a wasteful number, since it uses less digits than its factorization.

3085371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 3085371840 is about 55546.1235371110. The cubic root of 3085371840 is about 1455.8026440227.

The spelling of 3085371840 in words is "three billion, eighty-five million, three hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1409 2281 2818 4227 4562 5636 6843 7045 8454 9124 11272 11405 13686 14090 16908 18248 21135 22544 22810 27372 28180 33816 34215 36496 42270 45088 45620 54744 56360 67632 68430 72992 84540 90176 91240 109488 112720 135264 136860 145984 169080 182480 218976 225440 270528 273720 338160 364960 437952 450880 547440 676320 729920 1094880 1352640 2189760 3213929 6427858 9641787 12855716 16069645 19283574 25711432 32139290 38567148 48208935 51422864 64278580 77134296 96417870 102845728 128557160 154268592 192835740 205691456 257114320 308537184 385671480 514228640 617074368 771342960 1028457280 1542685920 3085371840