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3114930 = 2357213163
BaseRepresentation
bin1011111000011110110010
312212020212210
423320132302
51244134210
6150432550
735322300
oct13703662
95766783
103114930
111838325
121062756
13850a70
145b1270
15417e20
hex2f87b2

3114930 has 96 divisors (see below), whose sum is σ = 9422784. Its totient is φ = 653184.

The previous prime is 3114899. The next prime is 3114931. The reversal of 3114930 is 394113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3114897 and 3114906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19029 + ... + 19191.

It is an arithmetic number, because the mean of its divisors is an integer number (98154).

Almost surely, 23114930 is an apocalyptic number.

3114930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711392).

3114930 is an abundant number, since it is smaller than the sum of its proper divisors (6307854).

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

3114930 is a wasteful number, since it uses less digits than its factorization.

3114930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 3114930 is about 1764.9164286164. The cubic root of 3114930 is about 146.0436786809.

The spelling of 3114930 in words is "three million, one hundred fourteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 163 182 195 210 245 273 294 326 390 455 489 490 546 637 735 815 910 978 1141 1274 1365 1470 1630 1911 2119 2282 2445 2730 3185 3423 3822 4238 4890 5705 6357 6370 6846 7987 9555 10595 11410 12714 14833 15974 17115 19110 21190 23961 29666 31785 34230 39935 44499 47922 63570 74165 79870 88998 103831 119805 148330 207662 222495 239610 311493 444990 519155 622986 1038310 1557465 3114930