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2344004432 = 247113475483
BaseRepresentation
bin1000101110110110…
…1010101101010000
320001100122202120222
42023231222231100
514300031120212
61024332052212
7112041465110
oct21355525520
96040582528
102344004432
11aa3147250
12555004068
132b4811593
14183445040
15dabb4c72
hex8bb6ab50

2344004432 has 80 divisors (see below), whose sum is σ = 5679493632. Its totient is φ = 910450560.

The previous prime is 2344004401. The next prime is 2344004441.

2344004432 is nontrivially palindromic in base 10.

2344004432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424763 + ... + 430245.

Almost surely, 22344004432 is an apocalyptic number.

2344004432 is a gapful number since it is divisible by the number (22) 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 2344004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839746816).

2344004432 is an abundant number, since it is smaller than the sum of its proper divisors (3335489200).

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

2344004432 is a wasteful number, since it uses less digits than its factorization.

2344004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2344004432 is about 48414.9195186773. The cubic root of 2344004432 is about 1328.3712762893.

It can be divided in two parts, 234400 and 4432, that added together give a palindrome (238832).

The spelling of 2344004432 in words is "two billion, three hundred forty-four million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 347 616 694 1232 1388 2429 2776 3817 4858 5483 5552 7634 9716 10966 15268 19432 21932 26719 30536 38381 38864 43864 53438 60313 61072 76762 87728 106876 120626 153524 213752 241252 307048 422191 427504 482504 614096 844382 965008 1688764 1902601 3377528 3805202 6755056 7610404 13318207 15220808 20928611 26636414 30441616 41857222 53272828 83714444 106545656 146500277 167428888 213091312 293000554 334857776 586001108 1172002216 2344004432