Search a number
-
+
344201688 = 233219732423
BaseRepresentation
bin10100100001000…
…001100111011000
3212222200020221200
4110201001213120
51201103423223
654053234200
711346444315
oct2441014730
9788606850
10344201688
11167324906
1297332960
1356405c4c
14339dbd0c
1520340a43
hex148419d8

344201688 has 48 divisors (see below), whose sum is σ = 933070320. Its totient is φ = 114628416.

The previous prime is 344201653. The next prime is 344201699. The reversal of 344201688 is 886102443.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 140845 + ... + 143267.

It is an arithmetic number, because the mean of its divisors is an integer number (19438965).

Almost surely, 2344201688 is an apocalyptic number.

It is an amenable number.

344201688 is an abundant number, since it is smaller than the sum of its proper divisors (588868632).

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

344201688 is a wasteful number, since it uses less digits than its factorization.

344201688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 344201688 is about 18552.6733383629. The cubic root of 344201688 is about 700.8165220193.

The spelling of 344201688 in words is "three hundred forty-four million, two hundred one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1973 2423 3946 4846 5919 7269 7892 9692 11838 14538 15784 17757 19384 21807 23676 29076 35514 43614 47352 58152 71028 87228 142056 174456 4780579 9561158 14341737 19122316 28683474 38244632 43025211 57366948 86050422 114733896 172100844 344201688