Search a number
-
+
1345168384 = 21072171983
BaseRepresentation
bin101000000101101…
…1010010000000000
310110202011122010021
41100023122100000
510223330342014
6341251343224
745222512500
oct12013322000
93422148107
101345168384
11630348a0a
123165b1b14
131858c1131
14ca91ba00
157d163624
hex502da400

1345168384 has 264 divisors, whose sum is σ = 3528372960. Its totient is φ = 507838464.

The previous prime is 1345168351. The next prime is 1345168397. The reversal of 1345168384 is 4838615431.

Its product of digits (276480) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1345168384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16206807 + ... + 16206889.

Almost surely, 21345168384 is an apocalyptic number.

1345168384 is a gapful number since it is divisible by the number (14) 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 1345168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764186480).

1345168384 is an abundant number, since it is smaller than the sum of its proper divisors (2183204576).

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

1345168384 is a wasteful number, since it uses less digits than its factorization.

1345168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 1345168384 is about 36676.5372411301. The cubic root of 1345168384 is about 1103.8893678959.

The spelling of 1345168384 in words is "one billion, three hundred forty-five million, one hundred sixty-eight thousand, three hundred eighty-four".