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3031301040 = 2435194211579
BaseRepresentation
bin1011010010101101…
…1111101110110000
321211020221001021220
42310223133232300
522202003113130
61220443145040
7135055430235
oct26453375660
97736831256
103031301040
1113160aa379
12707215180
13394023771
1420a83378c
1512b1c8410
hexb4adfbb0

3031301040 has 160 divisors (see below), whose sum is σ = 9921388800. Its totient is φ = 763499520.

The previous prime is 3031301029. The next prime is 3031301069. The reversal of 3031301040 is 401031303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918971 + ... + 1920549.

It is an arithmetic number, because the mean of its divisors is an integer number (62008680).

Almost surely, 23031301040 is an apocalyptic number.

3031301040 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 3031301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960694400).

3031301040 is an abundant number, since it is smaller than the sum of its proper divisors (6890087760).

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

3031301040 is a wasteful number, since it uses less digits than its factorization.

3031301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3031301040 is about 55057.2523833146. The cubic root of 3031301040 is about 1447.2482158164.

Adding to 3031301040 its reverse (401031303), we get a palindrome (3432332343).

The spelling of 3031301040 in words is "three billion, thirty-one million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 421 456 570 760 842 912 1140 1263 1520 1579 1684 2105 2280 2526 3158 3368 4210 4560 4737 5052 6315 6316 6736 7895 7999 8420 9474 10104 12630 12632 15790 15998 16840 18948 20208 23685 23997 25260 25264 30001 31580 31996 33680 37896 39995 47370 47994 50520 60002 63160 63992 75792 79990 90003 94740 95988 101040 119985 120004 126320 127984 150005 159980 180006 189480 191976 239970 240008 300010 319960 360012 378960 383952 450015 479940 480016 600020 639920 664759 720024 900030 959880 1200040 1329518 1440048 1800060 1919760 1994277 2400080 2659036 3323795 3600120 3988554 5318072 6647590 7200240 7977108 9971385 10636144 12630421 13295180 15954216 19942770 25260842 26590360 31908432 37891263 39885540 50521684 53180720 63152105 75782526 79771080 101043368 126304210 151565052 159542160 189456315 202086736 252608420 303130104 378912630 505216840 606260208 757825260 1010433680 1515650520 3031301040