Search a number
-
+
340611864 = 233171674999
BaseRepresentation
bin10100010011010…
…101001100011000
3212201220212122020
4110103111030120
51144144034424
653444254440
711304103335
oct2423251430
9781825566
10340611864
111652a280a
12960a1420
1355749ca8
143334598c
151ed82079
hex144d5318

340611864 has 64 divisors (see below), whose sum is σ = 907200000. Its totient is φ = 106197504.

The previous prime is 340611863. The next prime is 340611877. The reversal of 340611864 is 468116043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340611863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65637 + ... + 70635.

It is an arithmetic number, because the mean of its divisors is an integer number (14175000).

Almost surely, 2340611864 is an apocalyptic number.

340611864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340611864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600000).

340611864 is an abundant number, since it is smaller than the sum of its proper divisors (566588136).

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

340611864 is a wasteful number, since it uses less digits than its factorization.

340611864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 340611864 is about 18455.6729489878. The cubic root of 340611864 is about 698.3716326526.

The spelling of 340611864 in words is "three hundred forty million, six hundred eleven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 204 334 408 501 668 1002 1336 2004 2839 4008 4999 5678 8517 9998 11356 14997 17034 19996 22712 29994 34068 39992 59988 68136 84983 119976 169966 254949 339932 509898 679864 834833 1019796 1669666 2039592 2504499 3339332 5008998 6678664 10017996 14192161 20035992 28384322 42576483 56768644 85152966 113537288 170305932 340611864