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4000310424 = 2332115050897
BaseRepresentation
bin1110111001101111…
…1110010010011000
3101022210021211021100
43232123332102120
531143034413144
61500540311400
7201063035415
oct35633762230
911283254240
104000310424
111773086480
12937842560
134b99ccab6
1429d3d510c
151862d7269
hexee6fe498

4000310424 has 48 divisors (see below), whose sum is σ = 11819101320. Its totient is φ = 1212215040.

The previous prime is 4000310381. The next prime is 4000310441. The reversal of 4000310424 is 4240130004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4000310397 and 4000310406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2524657 + ... + 2526240.

Almost surely, 24000310424 is an apocalyptic number.

4000310424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4000310424 is an abundant number, since it is smaller than the sum of its proper divisors (7818790896).

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

4000310424 is a wasteful number, since it uses less digits than its factorization.

4000310424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050920 (or 5050913 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000310424 is about 63248.0072729568. The cubic root of 4000310424 is about 1587.4421148547.

Adding to 4000310424 its reverse (4240130004), we get a palindrome (8240440428).

The spelling of 4000310424 in words is "four billion, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5050897 10101794 15152691 20203588 30305382 40407176 45458073 55559867 60610764 90916146 111119734 121221528 166679601 181832292 222239468 333359202 363664584 444478936 500038803 666718404 1000077606 1333436808 2000155212 4000310424