Search a number
-
+
1341322632 = 2333131931811
BaseRepresentation
bin100111111110010…
…1111010110001000
310110110221020202000
41033330233112020
510221334311012
6341033111000
745145024416
oct11774572610
93413836660
101341322632
11629161601
12315258460
13184b75840
14ca1da2b6
157cb53ddc
hex4ff2f588

1341322632 has 256 divisors, whose sum is σ = 4365312000. Its totient is φ = 377913600.

The previous prime is 1341322597. The next prime is 1341322643. The reversal of 1341322632 is 2362231431.

1341322632 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 22 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1341322596 and 1341322605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1653507 + ... + 1654317.

It is an arithmetic number, because the mean of its divisors is an integer number (17052000).

Almost surely, 21341322632 is an apocalyptic number.

1341322632 is a gapful number since it is divisible by the number (12) 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 1341322632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182656000).

1341322632 is an abundant number, since it is smaller than the sum of its proper divisors (3023989368).

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

1341322632 is a wasteful number, since it uses less digits than its factorization.

1341322632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 1341322632 is about 36624.0717561551. The cubic root of 1341322632 is about 1102.8363803045.

The spelling of 1341322632 in words is "one billion, three hundred forty-one million, three hundred twenty-two thousand, six hundred thirty-two".