Search a number
-
+
344032040 = 23511271081
BaseRepresentation
bin10100100000011…
…000001100101000
3212222100122020102
4110200120030220
51201033011130
654045444532
711345136602
oct2440301450
9788318212
10344032040
11167219400
1297270748
1356376971
1433996172
152030a645
hex14818328

344032040 has 48 divisors (see below), whose sum is σ = 850851540. Its totient is φ = 125100800.

The previous prime is 344032037. The next prime is 344032067. The reversal of 344032040 is 40230443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 340697764 + 3334276 = 18458^2 + 1826^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 30701 + ... + 40380.

Almost surely, 2344032040 is an apocalyptic number.

It is an amenable number.

344032040 is an abundant number, since it is smaller than the sum of its proper divisors (506819500).

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

344032040 is a wasteful number, since it uses less digits than its factorization.

344032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71114 (or 71099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 344032040 is about 18548.1007113936. The cubic root of 344032040 is about 700.7013650597.

Adding to 344032040 its reverse (40230443), we get a palindrome (384262483).

The spelling of 344032040 in words is "three hundred forty-four million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 71081 142162 284324 355405 568648 710810 781891 1421620 1563782 2843240 3127564 3909455 6255128 7818910 8600801 15637820 17201602 31275640 34403204 43004005 68806408 86008010 172016020 344032040