Search a number
-
+
402640668 = 223223486281
BaseRepresentation
bin10111111111111…
…100111100011100
31001001122021011100
4113333330330130
51311034000133
6103541553100
712656250333
oct2777747434
91031567140
10402640668
11197309991
12b2a15790
1365557521
143b690d1a
1525535e13
hex17ffcf1c

402640668 has 36 divisors (see below), whose sum is σ = 1062039888. Its totient is φ = 128377920.

The previous prime is 402640661. The next prime is 402640709. The reversal of 402640668 is 866046204.

It is a happy number.

402640668 is a `hidden beast` number, since 4 + 0 + 2 + 640 + 6 + 6 + 8 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (402640661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242313 + ... + 243968.

It is an arithmetic number, because the mean of its divisors is an integer number (29501108).

Almost surely, 2402640668 is an apocalyptic number.

It is an amenable number.

402640668 is an abundant number, since it is smaller than the sum of its proper divisors (659399220).

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

402640668 is a wasteful number, since it uses less digits than its factorization.

402640668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486314 (or 486309 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 402640668 is about 20065.9081030488. The cubic root of 402640668 is about 738.4241288241.

The spelling of 402640668 in words is "four hundred two million, six hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 486281 972562 1458843 1945124 2917686 4376529 5835372 8753058 11184463 17506116 22368926 33553389 44737852 67106778 100660167 134213556 201320334 402640668