Search a number
-
+
1442730336 = 25388716943
BaseRepresentation
bin101010111111110…
…0101000101100000
310201112202021221220
41111333211011200
510423314332321
6355054415040
750516001615
oct12577450540
93645667856
101442730336
11680424723
12343201480
1319cb8ccb8
14d987650c
15869d59c6
hex55fe5160

1442730336 has 48 divisors (see below), whose sum is σ = 3791660544. Its totient is φ = 480339584.

The previous prime is 1442730323. The next prime is 1442730349. The reversal of 1442730336 is 6330372441.

It is an interprime number because it is at equal distance from previous prime (1442730323) and next prime (1442730349).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1442730297 and 1442730306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76681 + ... + 93623.

It is an arithmetic number, because the mean of its divisors is an integer number (78992928).

Almost surely, 21442730336 is an apocalyptic number.

1442730336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1442730336 is an abundant number, since it is smaller than the sum of its proper divisors (2348930208).

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

1442730336 is a wasteful number, since it uses less digits than its factorization.

1442730336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843 (or 17835 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 1442730336 is about 37983.2902208326. The cubic root of 1442730336 is about 1129.9564908718.

The spelling of 1442730336 in words is "one billion, four hundred forty-two million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 887 1774 2661 3548 5322 7096 10644 14192 16943 21288 28384 33886 42576 50829 67772 85152 101658 135544 203316 271088 406632 542176 813264 1626528 15028441 30056882 45085323 60113764 90170646 120227528 180341292 240455056 360682584 480910112 721365168 1442730336