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30314900 = 225271131127
BaseRepresentation
bin111001110100…
…1000110010100
32010001011020002
41303221012110
530230034100
63001430432
7515446430
oct163510624
963034202
1030314900
1116126040
12a19b418
136385415
1440519c0
1529dc2d5
hex1ce9194

30314900 has 144 divisors (see below), whose sum is σ = 85327872. Its totient is φ = 9072000.

The previous prime is 30314881. The next prime is 30314917. The reversal of 30314900 is 941303.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 238637 + ... + 238763.

Almost surely, 230314900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30314900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42663936).

30314900 is an abundant number, since it is smaller than the sum of its proper divisors (55012972).

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

30314900 is a wasteful number, since it uses less digits than its factorization.

30314900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 30314900 is about 5505.8968388447. The cubic root of 30314900 is about 311.8066548095.

The spelling of 30314900 in words is "thirty million, three hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 31 35 44 50 55 62 70 77 100 110 124 127 140 154 155 175 217 220 254 275 308 310 341 350 385 434 508 550 620 635 682 700 770 775 868 889 1085 1100 1270 1364 1397 1540 1550 1705 1778 1925 2170 2387 2540 2794 3100 3175 3410 3556 3850 3937 4340 4445 4774 5425 5588 6350 6820 6985 7700 7874 8525 8890 9548 9779 10850 11935 12700 13970 15748 17050 17780 19558 19685 21700 22225 23870 27559 27940 34100 34925 39116 39370 43307 44450 47740 48895 55118 59675 69850 78740 86614 88900 97790 98425 110236 119350 137795 139700 173228 195580 196850 216535 238700 244475 275590 303149 393700 433070 488950 551180 606298 688975 866140 977900 1082675 1212596 1377950 1515745 2165350 2755900 3031490 4330700 6062980 7578725 15157450 30314900