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312102340 = 225113074621
BaseRepresentation
bin10010100110100…
…100110111000100
3210202021102220221
4102212210313010
51114344233330
650545234124
710506553234
oct2246446704
9722242827
10312102340
111501a0120
1288632944
134c877554
142d643cc4
151c5eeb7a
hex129a4dc4

312102340 has 48 divisors (see below), whose sum is σ = 717482304. Its totient is φ = 113097600.

The previous prime is 312102317. The next prime is 312102383. The reversal of 312102340 is 43201213.

It is a happy number.

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, 65230 + ... + 69850.

It is an arithmetic number, because the mean of its divisors is an integer number (14947548).

Almost surely, 2312102340 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 312102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358741152).

312102340 is an abundant number, since it is smaller than the sum of its proper divisors (405379964).

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

312102340 is a wasteful number, since it uses less digits than its factorization.

312102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312102340 is about 17666.4184259289. The cubic root of 312102340 is about 678.3164378848.

Adding to 312102340 its reverse (43201213), we get a palindrome (355303553).

The spelling of 312102340 in words is "three hundred twelve million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1228 1535 3070 3377 4621 6140 6754 9242 13508 16885 18484 23105 33770 46210 50831 67540 92420 101662 203324 254155 508310 1016620 1418647 2837294 5674588 7093235 14186470 15605117 28372940 31210234 62420468 78025585 156051170 312102340