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312000052 = 227213122449
BaseRepresentation
bin10010100110001…
…011111000110100
3210202002020121111
4102212023320310
51114333000202
650543124404
710505646100
oct2246137064
9722066544
10312000052
11150130291
12885a3704
134c83cb20
142d618900
151c5ce6d7
hex1298be34

312000052 has 36 divisors (see below), whose sum is σ = 684005700. Its totient is φ = 123427584.

The previous prime is 312000049. The next prime is 312000061. The reversal of 312000052 is 250000213.

312000052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 287438116 = 4956^2 + 16954^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 311999996 and 312000041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58677 + ... + 63772.

Almost surely, 2312000052 is an apocalyptic number.

It is an amenable number.

312000052 is an abundant number, since it is smaller than the sum of its proper divisors (372005648).

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

312000052 is a wasteful number, since it uses less digits than its factorization.

312000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122480 (or 122471 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 312000052 is about 17663.5232046158. The cubic root of 312000052 is about 678.2423262830.

Adding to 312000052 its reverse (250000213), we get a palindrome (562000265).

The spelling of 312000052 in words is "three hundred twelve million, fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 122449 244898 489796 857143 1591837 1714286 3183674 3428572 6000001 6367348 11142859 12000002 22285718 24000004 44571436 78000013 156000026 312000052