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311299420 = 225196712227
BaseRepresentation
bin10010100011100…
…000110101011100
3210200202122112011
4102203200311130
51114143040140
650520121004
710500000325
oct2243406534
9720678464
10311299420
1114a7a1953
1288306164
134c655c53
142d4b544c
151c4e1cea
hex128e0d5c

311299420 has 48 divisors (see below), whose sum is σ = 698463360. Its totient is φ = 116195904.

The previous prime is 311299381. The next prime is 311299441. The reversal of 311299420 is 24992113.

It is a congruent 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, 19347 + ... + 31573.

It is an arithmetic number, because the mean of its divisors is an integer number (14551320).

Almost surely, 2311299420 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 311299420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349231680).

311299420 is an abundant number, since it is smaller than the sum of its proper divisors (387163940).

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

311299420 is a wasteful number, since it uses less digits than its factorization.

311299420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 311299420 is about 17643.6793215021. The cubic root of 311299420 is about 677.7342553996.

The spelling of 311299420 in words is "three hundred eleven million, two hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 12227 12730 24454 25460 48908 61135 122270 232313 244540 464626 819209 929252 1161565 1638418 2323130 3276836 4096045 4646260 8192090 15564971 16384180 31129942 62259884 77824855 155649710 311299420