Search a number
-
+
1342604160 = 273558997
BaseRepresentation
bin101000000000110…
…1000001110000000
310110120100100200000
41100001220032000
510222201313120
6341120400000
745161642562
oct12001501600
93416310600
101342604160
11629957417
12315776000
13185203c41
14ca451332
157cd08990
hex50068380

1342604160 has 384 divisors, whose sum is σ = 4912034400. Its totient is φ = 350355456.

The previous prime is 1342604129. The next prime is 1342604167. The reversal of 1342604160 is 614062431.

1342604160 is a `hidden beast` number, since 1 + 3 + 42 + 604 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342604167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13841232 + ... + 13841328.

Almost surely, 21342604160 is an apocalyptic number.

1342604160 is a gapful number since it is divisible by the number (10) 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 1342604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456017200).

1342604160 is an abundant number, since it is smaller than the sum of its proper divisors (3569430240).

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

1342604160 is an frugal number, since it uses more digits than its factorization.

1342604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1342604160 is about 36641.5632854277. The cubic root of 1342604160 is about 1103.1874929059.

Adding to 1342604160 its reverse (614062431), we get a palindrome (1956666591).

The spelling of 1342604160 in words is "one billion, three hundred forty-two million, six hundred four thousand, one hundred sixty".