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3114877740 = 22351310936637
BaseRepresentation
bin1011100110101001…
…0100001100101100
322001002012011222020
42321222110030230
522334402041430
61233030350140
7140122011132
oct27152241454
98032164866
103114877740
1113592a3827
1272b1bb350
133a8436b30
1421798b752
151336d6b10
hexb9a9432c

3114877740 has 96 divisors (see below), whose sum is σ = 9478983360. Its totient is φ = 759684096.

The previous prime is 3114877739. The next prime is 3114877757. The reversal of 3114877740 is 477784113.

It is a junction number, because it is equal to n+sod(n) for n = 3114877692 and 3114877701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66702 + ... + 103338.

It is an arithmetic number, because the mean of its divisors is an integer number (98739410).

Almost surely, 23114877740 is an apocalyptic number.

3114877740 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 3114877740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739491680).

3114877740 is an abundant number, since it is smaller than the sum of its proper divisors (6364105620).

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

3114877740 is a wasteful number, since it uses less digits than its factorization.

3114877740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36771 (or 36769 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 3114877740 is about 55811.0897582192. The cubic root of 3114877740 is about 1460.4286193863.

The spelling of 3114877740 in words is "three billion, one hundred fourteen million, eight hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 17004 21255 28340 36637 42510 73274 85020 109911 146548 183185 219822 366370 439644 476281 549555 732740 952562 1099110 1428843 1905124 2198220 2381405 2857686 3993433 4762810 5715372 7144215 7986866 9525620 11980299 14288430 15973732 19967165 23960598 28576860 39934330 47921196 51914629 59901495 79868660 103829258 119802990 155743887 207658516 239605980 259573145 311487774 519146290 622975548 778719435 1038292580 1557438870 3114877740