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4313328432 = 2437127101081
BaseRepresentation
bin1000000010001100…
…00010101100110000
3102010121021210020220
410001012002230300
532313203002212
61552001333040
7211613454360
oct40106025460
912117253226
104313328432
111913841546
12a04637180
1353980805a
142ccbd69a0
151a3a1838c
hex101182b30

4313328432 has 80 divisors (see below), whose sum is σ = 12834988032. Its totient is φ = 1222663680.

The previous prime is 4313328407. The next prime is 4313328433. The reversal of 4313328432 is 2348233134.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 = 4313328393 and 4313328402.

It is not an unprimeable number, because it can be changed into a prime (4313328433) 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, 7869 + ... + 93212.

Almost surely, 24313328432 is an apocalyptic number.

4313328432 is a gapful number since it is divisible by the number (42) 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 4313328432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417494016).

4313328432 is an abundant number, since it is smaller than the sum of its proper divisors (8521659600).

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

4313328432 is a wasteful number, since it uses less digits than its factorization.

4313328432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101226 (or 101220 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 4313328432 is about 65675.9349533754. The cubic root of 4313328432 is about 1627.8117388407.

The spelling of 4313328432 in words is "four billion, three hundred thirteen million, three hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 10668 14224 21336 42672 101081 202162 303243 404324 606486 707567 808648 1212972 1415134 1617296 2122701 2425944 2830268 4245402 4851888 5660536 8490804 11321072 12837287 16981608 25674574 33963216 38511861 51349148 77023722 89861009 102698296 154047444 179722018 205396592 269583027 308094888 359444036 539166054 616189776 718888072 1078332108 1437776144 2156664216 4313328432