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3012908340 = 2235132614871
BaseRepresentation
bin1011001110010101…
…0101010100110100
321202222022121020210
42303211111110310
522132301031330
61214545025420
7134443204221
oct26345252464
97688277223
103012908340
1113067876a2
12701025270
13390283b00
14208206948
151297938b0
hexb3955534

3012908340 has 144 divisors (see below), whose sum is σ = 9286655616. Its totient is φ = 729331200.

The previous prime is 3012908323. The next prime is 3012908417. The reversal of 3012908340 is 438092103.

3012908340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3012908298 and 3012908307.

It is a congruent number.

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, 616105 + ... + 620975.

It is an arithmetic number, because the mean of its divisors is an integer number (64490664).

Almost surely, 23012908340 is an apocalyptic number.

3012908340 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 3012908340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643327808).

3012908340 is an abundant number, since it is smaller than the sum of its proper divisors (6273747276).

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

3012908340 is a wasteful number, since it uses less digits than its factorization.

3012908340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3012908340 is about 54889.9657496705. The cubic root of 3012908340 is about 1444.3151713938.

The spelling of 3012908340 in words is "three billion, twelve million, nine hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 169 183 195 244 260 305 338 366 390 507 610 676 732 780 793 845 915 1014 1220 1586 1690 1830 2028 2379 2535 3172 3380 3660 3965 4758 4871 5070 7930 9516 9742 10140 10309 11895 14613 15860 19484 20618 23790 24355 29226 30927 41236 47580 48710 51545 58452 61854 63323 73065 97420 103090 123708 126646 146130 154635 189969 206180 253292 292260 297131 309270 316615 379938 594262 618540 633230 759876 823199 891393 949845 1188524 1266460 1485655 1646398 1782786 1899690 2469597 2971310 3292796 3565572 3799380 3862703 4115995 4456965 4939194 5942620 7725406 8231990 8913930 9878388 11588109 12347985 15450812 16463980 17827860 19313515 23176218 24695970 38627030 46352436 49391940 50215139 57940545 77254060 100430278 115881090 150645417 200860556 231762180 251075695 301290834 502151390 602581668 753227085 1004302780 1506454170 3012908340