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30312870 = 23572171213
BaseRepresentation
bin111001110100…
…0100110100110
32010001001102220
41303220212212
530230002440
63001413210
7515440500
oct163504646
963031386
1030312870
1116124565
12a19a206
136384513
144050d70
1529db8d0
hex1ce89a6

30312870 has 96 divisors (see below), whose sum is σ = 89680608. Its totient is φ = 6515712.

The previous prime is 30312869. The next prime is 30312871. The reversal of 30312870 is 7821303.

It is an interprime number because it is at equal distance from previous prime (30312869) and next prime (30312871).

It is a self number, because there is not a number n which added to its sum of digits gives 30312870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30312871) 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, 24384 + ... + 25596.

It is an arithmetic number, because the mean of its divisors is an integer number (934173).

Almost surely, 230312870 is an apocalyptic number.

30312870 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 30312870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44840304).

30312870 is an abundant number, since it is smaller than the sum of its proper divisors (59367738).

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

30312870 is a wasteful number, since it uses less digits than its factorization.

30312870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30312870 is about 5505.7124879529. The cubic root of 30312870 is about 311.7996947378.

The spelling of 30312870 in words is "thirty million, three hundred twelve thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1213 1470 1666 1785 2426 2499 3570 3639 4165 4998 6065 7278 8330 8491 12130 12495 16982 18195 20621 24990 25473 36390 41242 42455 50946 59437 61863 84910 103105 118874 123726 127365 144347 178311 206210 254730 288694 297185 309315 356622 433041 594370 618630 721735 866082 891555 1010429 1443470 1783110 2020858 2165205 3031287 4330410 5052145 6062574 10104290 15156435 30312870