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340433552 = 24291734241
BaseRepresentation
bin10100010010101…
…001101010010000
3212201120211001002
4110102221222100
51144122333202
653440401132
711302431434
oct2422515220
9781524032
10340433552
11165190848
12960161a8
13556b6a94
14332da9c4
151ed49302
hex144a9a90

340433552 has 40 divisors (see below), whose sum is σ = 686440440. Its totient is φ = 163358720.

The previous prime is 340433531. The next prime is 340433563. The reversal of 340433552 is 255334043.

340433552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 233600656 + 106832896 = 15284^2 + 10336^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 78152 + ... + 82392.

It is an arithmetic number, because the mean of its divisors is an integer number (17161011).

Almost surely, 2340433552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343220220).

340433552 is an abundant number, since it is smaller than the sum of its proper divisors (346006888).

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

340433552 is a wasteful number, since it uses less digits than its factorization.

340433552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 340433552 is about 18450.8414984249. The cubic root of 340433552 is about 698.2497443760.

Adding to 340433552 its reverse (255334043), we get a palindrome (595767595).

The spelling of 340433552 in words is "three hundred forty million, four hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 173 232 346 464 692 1384 2768 4241 5017 8482 10034 16964 20068 33928 40136 67856 80272 122989 245978 491956 733693 983912 1467386 1967824 2934772 5869544 11739088 21277097 42554194 85108388 170216776 340433552