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43924000328 = 23133713218641
BaseRepresentation
bin101000111010000100…
…110000111001001000
311012101010202101222222
4220322010300321020
51204424021002303
632102311433212
73113322561665
oct507204607110
9135333671888
1043924000328
111769aa5361a
12861a085808
1341b0014650
1421a97baa6c
151221248938
hexa3a130e48

43924000328 has 64 divisors (see below), whose sum is σ = 91169297520. Its totient is φ = 19707494400.

The previous prime is 43924000327. The next prime is 43924000331. The reversal of 43924000328 is 82300042934.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20996589604 + 22927410724 = 144902^2 + 151418^2 .

It is not an unprimeable number, because it can be changed into a prime (43924000327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5078888 + ... + 5087528.

Almost surely, 243924000328 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 43924000328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45584648760).

43924000328 is an abundant number, since it is smaller than the sum of its proper divisors (47245297192).

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

43924000328 is a wasteful number, since it uses less digits than its factorization.

With its successor (43924000329) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (10018).

43924000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 43924000328 in words is "forty-three billion, nine hundred twenty-four million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1321 1924 2642 3848 5284 8641 10568 17173 17282 34346 34564 48877 68692 69128 97754 112333 137384 195508 224666 319717 391016 449332 635401 639434 898664 1270802 1278868 2541604 2557736 4156321 5083208 8312642 11414761 16625284 22829522 33250568 45659044 91318088 148391893 296783786 422346157 593567572 844692314 1187135144 1689384628 3378769256 5490500041 10981000082 21962000164 43924000328