Search a number
-
+
968342004 = 223273842627
BaseRepresentation
bin111001101101111…
…011100111110100
32111111002212111200
4321231323213310
53440343421004
6240030532500
732665525350
oct7155734764
92444085450
10968342004
11457670753
12230367130
13125804646
149286a460
155a02b239
hex39b7b9f4

968342004 has 36 divisors (see below), whose sum is σ = 2797433184. Its totient is φ = 276669072.

The previous prime is 968341967. The next prime is 968342027. The reversal of 968342004 is 400243869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 968342004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1921062 + ... + 1921565.

Almost surely, 2968342004 is an apocalyptic number.

It is an amenable number.

968342004 is an abundant number, since it is smaller than the sum of its proper divisors (1829091180).

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

968342004 is a wasteful number, since it uses less digits than its factorization.

968342004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842644 (or 3842639 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 968342004 is about 31118.1940992725. The cubic root of 968342004 is about 989.3339750486. Note that the first 3 decimals are identical.

The spelling of 968342004 in words is "nine hundred sixty-eight million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3842627 7685254 11527881 15370508 23055762 26898389 34583643 46111524 53796778 69167286 80695167 107593556 138334572 161390334 242085501 322780668 484171002 968342004