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312421212 = 22352931097
BaseRepresentation
bin10010100111110…
…010101101011100
3210202212122100000
4102213302231130
51114434434322
651000134300
710512352005
oct2247625534
9722778300
10312421212
11150398754
1288767390
134c95972c
142d6c81ac
151c6643ac
hex129f2b5c

312421212 has 72 divisors (see below), whose sum is σ = 822524976. Its totient is φ = 103690368.

The previous prime is 312421177. The next prime is 312421231. The reversal of 312421212 is 212124213.

It is a happy number.

312421212 is a `hidden beast` number, since 31 + 2 + 421 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284248 + ... + 285344.

It is an arithmetic number, because the mean of its divisors is an integer number (11423958).

Almost surely, 2312421212 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 312421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411262488).

312421212 is an abundant number, since it is smaller than the sum of its proper divisors (510103764).

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

312421212 is a wasteful number, since it uses less digits than its factorization.

312421212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1395 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 312421212 is about 17675.4409280221. The cubic root of 312421212 is about 678.5473690792.

Adding to 312421212 its reverse (212124213), we get a palindrome (524545425).

It can be divided in two parts, 3124 and 21212, that added together give a square (24336 = 1562).

The spelling of 312421212 in words is "three hundred twelve million, four hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 293 324 486 586 879 972 1097 1172 1758 2194 2637 3291 3516 4388 5274 6582 7911 9873 10548 13164 15822 19746 23733 29619 31644 39492 47466 59238 71199 88857 94932 118476 142398 177714 266571 284796 321421 355428 533142 642842 964263 1066284 1285684 1928526 2892789 3857052 5785578 8678367 11571156 17356734 26035101 34713468 52070202 78105303 104140404 156210606 312421212