Search a number
-
+
61329384 = 2332851797
BaseRepresentation
bin1110100111110…
…0111111101000
311021101212002200
43221330333220
5111200020014
610030300200
71343201604
oct351747750
9137355080
1061329384
1131689746
1218657660
13c92409c
148206504
1555b6a09
hex3a7cfe8

61329384 has 24 divisors (see below), whose sum is σ = 166100610. Its totient is φ = 20443104.

The previous prime is 61329361. The next prime is 61329409. The reversal of 61329384 is 48392316.

61329384 is a `hidden beast` number, since 613 + 2 + 9 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60372900 + 956484 = 7770^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×613293842 = 7522586683638912, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 425827 + ... + 425970.

Almost surely, 261329384 is an apocalyptic number.

It is an amenable number.

61329384 is an abundant number, since it is smaller than the sum of its proper divisors (104771226).

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

61329384 is a wasteful number, since it uses less digits than its factorization.

61329384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851809 (or 851802 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 61329384 is about 7831.3079367370. The cubic root of 61329384 is about 394.3569818965.

The spelling of 61329384 in words is "sixty-one million, three hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 851797 1703594 2555391 3407188 5110782 6814376 7666173 10221564 15332346 20443128 30664692 61329384