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312421020 = 22357371329
BaseRepresentation
bin10010100111110…
…010101010011100
3210202212122001220
4102213302222130
51114434433040
651000133340
710512351312
oct2247625234
9722778056
10312421020
1115039859a
1288767250
134c959612
142d6c80b2
151c6642d0
hex129f2a9c

312421020 has 48 divisors (see below), whose sum is σ = 886774560. Its totient is φ = 82169856.

The previous prime is 312421003. The next prime is 312421027. The reversal of 312421020 is 20124213.

It is a super-3 number, since 3×3124210203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312421027) 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, 31285 + ... + 40044.

It is an arithmetic number, because the mean of its divisors is an integer number (18474470).

Almost surely, 2312421020 is an apocalyptic number.

312421020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312421020 is an abundant number, since it is smaller than the sum of its proper divisors (574353540).

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

312421020 is a wasteful number, since it uses less digits than its factorization.

312421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71414 (or 71412 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 312421020 is about 17675.4354967565. The cubic root of 312421020 is about 678.5472300776.

Adding to 312421020 its reverse (20124213), we get a palindrome (332545233).

The spelling of 312421020 in words is "three hundred twelve million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 71329 142658 213987 285316 356645 427974 713290 855948 1069935 1426580 2139870 4279740 5207017 10414034 15621051 20828068 26035085 31242102 52070170 62484204 78105255 104140340 156210510 312421020