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3039311340 = 22325131776403
BaseRepresentation
bin1011010100101000…
…0011010111101100
321211211000000100200
42311022003113230
522211030430330
61221330553500
7135213502002
oct26512032754
97754000320
103039311340
11131a68065a
12709a38890
133958997a0
1420b91aa72
1512bc5ba60
hexb52835ec

3039311340 has 144 divisors (see below), whose sum is σ = 10512579168. Its totient is φ = 704120832.

The previous prime is 3039311321. The next prime is 3039311351. The reversal of 3039311340 is 431139303.

3039311340 is a `hidden beast` number, since 3 + 0 + 3 + 9 + 311 + 340 = 666.

3039311340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579 + ... + 77981.

It is an arithmetic number, because the mean of its divisors is an integer number (73004022).

Almost surely, 23039311340 is an apocalyptic number.

3039311340 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 3039311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256289584).

3039311340 is an abundant number, since it is smaller than the sum of its proper divisors (7473267828).

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

3039311340 is a wasteful number, since it uses less digits than its factorization.

3039311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76448 (or 76443 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3039311340 is about 55129.9495737117. The cubic root of 3039311340 is about 1448.5218928809.

The spelling of 3039311340 in words is "three billion, thirty-nine million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 76403 152806 229209 305612 382015 458418 687627 764030 916836 993239 1146045 1298851 1375254 1528060 1986478 2292090 2597702 2750508 2979717 3438135 3896553 3972956 4584180 4966195 5195404 5959434 6494255 6876270 7793106 8939151 9932390 11689659 11918868 12988510 13752540 14898585 15586212 16885063 17878302 19482765 19864780 23379318 25977020 29797170 33770126 35756604 38965530 44695755 46758636 50655189 58448295 59594340 67540252 77931060 84425315 89391510 101310378 116896590 151965567 168850630 178783020 202620756 233793180 253275945 303931134 337701260 506551890 607862268 759827835 1013103780 1519655670 3039311340