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311014420 = 225191137243
BaseRepresentation
bin10010100010011…
…011010000010100
3210200020011120121
4102202123100110
51114104430140
650510041324
710464402403
oct2242332024
9720204517
10311014420
1114a617812
12881a9244
134c586302
142d43d63a
151c48764a
hex1289b414

311014420 has 48 divisors (see below), whose sum is σ = 693685440. Its totient is φ = 116798976.

The previous prime is 311014411. The next prime is 311014471. The reversal of 311014420 is 24410113.

It is a junction number, because it is equal to n+sod(n) for n = 311014394 and 311014403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39319 + ... + 46561.

It is an arithmetic number, because the mean of its divisors is an integer number (14451780).

Almost surely, 2311014420 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 311014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346842720).

311014420 is an abundant number, since it is smaller than the sum of its proper divisors (382671020).

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

311014420 is a wasteful number, since it uses less digits than its factorization.

311014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 311014420 is about 17635.6009254009. The cubic root of 311014420 is about 677.5273664413.

Adding to 311014420 its reverse (24410113), we get a palindrome (335424533).

The spelling of 311014420 in words is "three hundred eleven million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1130 2147 2260 4294 7243 8588 10735 14486 21470 28972 36215 42940 72430 137617 144860 275234 550468 688085 818459 1376170 1636918 2752340 3273836 4092295 8184590 15550721 16369180 31101442 62202884 77753605 155507210 311014420