Search a number
-
+
312002020 = 225111783423
BaseRepresentation
bin10010100110001…
…100010111100100
3210202002100022101
4102212030113210
51114333031040
650543141444
710505654611
oct2246142744
9722070271
10312002020
11150131810
12885a4884
134c8409a5
142d619508
151c5d009a
hex1298c5e4

312002020 has 48 divisors (see below), whose sum is σ = 756822528. Its totient is φ = 106780160.

The previous prime is 312001999. The next prime is 312002051. The reversal of 312002020 is 20200213.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 312001988 and 312002006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37972 + ... + 45451.

It is an arithmetic number, because the mean of its divisors is an integer number (15767136).

Almost surely, 2312002020 is an apocalyptic number.

It is an amenable number.

312002020 is an abundant number, since it is smaller than the sum of its proper divisors (444820508).

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

312002020 is a wasteful number, since it uses less digits than its factorization.

312002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83460 (or 83458 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 312002020 is about 17663.5789125534. The cubic root of 312002020 is about 678.2437523277.

Adding to 312002020 its reverse (20200213), we get a palindrome (332202233).

The spelling of 312002020 in words is "three hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 83423 166846 333692 417115 834230 917653 1418191 1668460 1835306 2836382 3670612 4588265 5672764 7090955 9176530 14181910 15600101 18353060 28363820 31200202 62400404 78000505 156001010 312002020