Search a number
-
+
1358290944 = 213342389
BaseRepresentation
bin101000011110101…
…1110000000000000
310111122212022220000
41100331132000000
510240210302234
6342440520000
745442165623
oct12075360000
93448768800
101358290944
116377a10aa
1231aa80000
1318853706a
14cc575dba
157e3a6899
hex50f5e000

1358290944 has 280 divisors, whose sum is σ = 4281860880. Its totient is φ = 428212224.

The previous prime is 1358290937. The next prime is 1358290949. The reversal of 1358290944 is 4490928531.

1358290944 is a `hidden beast` number, since 1 + 358 + 290 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×13582909442 = 3689908577104822272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1358290944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358290949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15261652 + ... + 15261740.

Almost surely, 21358290944 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 1358290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140930440).

1358290944 is an abundant number, since it is smaller than the sum of its proper divisors (2923569936).

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

1358290944 is an frugal number, since it uses more digits than its factorization.

1358290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1358290944 is about 36854.9989010989. The cubic root of 1358290944 is about 1107.4673594492.

The spelling of 1358290944 in words is "one billion, three hundred fifty-eight million, two hundred ninety thousand, nine hundred forty-four".