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312421420 = 225232812417
BaseRepresentation
bin10010100111110…
…010110000101100
3210202212122121201
4102213302300230
51114434441140
651000135244
710512352423
oct2247626054
9722778551
10312421420
11150398923
1288767524
134c95985c
142d6c82ba
151c66449a
hex129f2c2c

312421420 has 48 divisors (see below), whose sum is σ = 687331008. Its totient is φ = 119060480.

The previous prime is 312421391. The next prime is 312421423. The reversal of 312421420 is 24124213.

It is not an unprimeable number, because it can be changed into a prime (312421423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128052 + ... + 130468.

It is an arithmetic number, because the mean of its divisors is an integer number (14319396).

Almost surely, 2312421420 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 312421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343665504).

312421420 is an abundant number, since it is smaller than the sum of its proper divisors (374909588).

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

312421420 is a wasteful number, since it uses less digits than its factorization.

312421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 312421420 is about 17675.4468118913. The cubic root of 312421420 is about 678.5475196641.

Adding to 312421420 its reverse (24124213), we get a palindrome (336545633).

The spelling of 312421420 in words is "three hundred twelve million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 1124 1405 2417 2810 4834 5620 6463 9668 12085 12926 24170 25852 32315 48340 55591 64630 111182 129260 222364 277955 555910 679177 1111820 1358354 2716708 3395885 6791770 13583540 15621071 31242142 62484284 78105355 156210710 312421420