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4344342432 = 25345253567
BaseRepresentation
bin1000000101111000…
…10110011110100000
3102012202122110110120
410002330112132200
532344122424212
61555030200240
7212441205243
oct40274263640
912182573416
104344342432
11192a2a4851
12a12ab3080
13543076731
142d2d8b25a
151a65e288c
hex102f167a0

4344342432 has 24 divisors (see below), whose sum is σ = 11403899136. Its totient is φ = 1448114112.

The previous prime is 4344342371. The next prime is 4344342437. The reversal of 4344342432 is 2342434434.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×43443424322 = 37746622332951349248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4344342393 and 4344342402.

It is not an unprimeable number, because it can be changed into a prime (4344342437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22626688 + ... + 22626879.

It is an arithmetic number, because the mean of its divisors is an integer number (475162464).

Almost surely, 24344342432 is an apocalyptic number.

It is an amenable number.

4344342432 is an abundant number, since it is smaller than the sum of its proper divisors (7059556704).

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

4344342432 is a wasteful number, since it uses less digits than its factorization.

4344342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45253580 (or 45253572 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 4344342432 is about 65911.6259244149. The cubic root of 4344342432 is about 1631.7038942794.

Adding to 4344342432 its reverse (2342434434), we get a palindrome (6686776866).

The spelling of 4344342432 in words is "four billion, three hundred forty-four million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 45253567 90507134 135760701 181014268 271521402 362028536 543042804 724057072 1086085608 1448114144 2172171216 4344342432