Search a number
-
+
311387148 = 22328997187
BaseRepresentation
bin10010100011110…
…110010000001100
3210200221002212100
4102203312100030
51114203342043
650522035100
710500514152
oct2243662014
9720832770
10311387148
1114a851856
1288348a90
134c686b67
142d4d93d2
151c50ccd3
hex128f640c

311387148 has 36 divisors (see below), whose sum is σ = 795969720. Its totient is φ = 102628416.

The previous prime is 311387129. The next prime is 311387159. The reversal of 311387148 is 841783113.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45390 + ... + 51797.

It is an arithmetic number, because the mean of its divisors is an integer number (22110270).

Almost surely, 2311387148 is an apocalyptic number.

It is an amenable number.

311387148 is an abundant number, since it is smaller than the sum of its proper divisors (484582572).

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

311387148 is a wasteful number, since it uses less digits than its factorization.

311387148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97286 (or 97281 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 311387148 is about 17646.1652491412. The cubic root of 311387148 is about 677.7979140324.

The spelling of 311387148 in words is "three hundred eleven million, three hundred eighty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 97187 194374 291561 388748 583122 874683 1166244 1749366 3498732 8649643 17299286 25948929 34598572 51897858 77846787 103795716 155693574 311387148