Search a number
-
+
311413104 = 24323169761
BaseRepresentation
bin10010100011111…
…100100101110000
3210200222102110200
4102203330211300
51114210204404
650522355200
710500652632
oct2243744560
9720872420
10311413104
1114a86a302
128835bb00
134c695912
142d504a52
151c515839
hex128fc970

311413104 has 60 divisors (see below), whose sum is σ = 899650752. Its totient is φ = 100454400.

The previous prime is 311413103. The next prime is 311413153. The reversal of 311413104 is 401314113.

311413104 is a `hidden beast` number, since 311 + 41 + 310 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311413103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30417 + ... + 39344.

Almost surely, 2311413104 is an apocalyptic number.

It is an amenable number.

311413104 is an abundant number, since it is smaller than the sum of its proper divisors (588237648).

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

311413104 is a wasteful number, since it uses less digits than its factorization.

311413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69806 (or 69797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 311413104 is about 17646.9006910562. The cubic root of 311413104 is about 677.8167463595.

Adding to 311413104 its reverse (401314113), we get a palindrome (712727217).

The spelling of 311413104 in words is "three hundred eleven million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 69761 139522 209283 279044 418566 558088 627849 837132 1116176 1255698 1674264 2162591 2511396 3348528 4325182 5022792 6487773 8650364 10045584 12975546 17300728 19463319 25951092 34601456 38926638 51902184 77853276 103804368 155706552 311413104