Search a number
-
+
1148730336 = 25341373467
BaseRepresentation
bin100010001111000…
…0011101111100000
32222001112112210000
41010132003233200
54323033332321
6305553140000
740316022015
oct10436035740
92861475700
101148730336
1153a479116
1228085a600
13153cb31c0
14ac7c570c
156acae826
hex44783be0

1148730336 has 240 divisors, whose sum is σ = 3695996304. Its totient is φ = 347867136.

The previous prime is 1148730313. The next prime is 1148730347. The reversal of 1148730336 is 6330378411.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1148730336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459575 + ... + 2460041.

Almost surely, 21148730336 is an apocalyptic number.

1148730336 is a gapful number since it is divisible by the number (16) 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 1148730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847998152).

1148730336 is an abundant number, since it is smaller than the sum of its proper divisors (2547265968).

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

1148730336 is a wasteful number, since it uses less digits than its factorization.

1148730336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1148730336 is about 33892.9245713615. The cubic root of 1148730336 is about 1047.3038419970.

The spelling of 1148730336 in words is "one billion, one hundred forty-eight million, seven hundred thirty thousand, three hundred thirty-six".