Search a number
-
+
524342106 = 233101127757
BaseRepresentation
bin11111010000001…
…101001101011010
31100112122100011000
4133100031031122
52033212421411
6124010245430
715664556121
oct3720151532
91315570130
10524342106
11249a82a92
12127726876
1384828a02
144d8d0ab8
1531075956
hex1f40d35a

524342106 has 64 divisors (see below), whose sum is σ = 1187573760. Its totient is φ = 171460800.

The previous prime is 524342099. The next prime is 524342111. The reversal of 524342106 is 601243425.

524342106 is a `hidden beast` number, since 524 + 34 + 2 + 106 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 524342106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692280 + ... + 693036.

It is an arithmetic number, because the mean of its divisors is an integer number (18555840).

Almost surely, 2524342106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524342106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593786880).

524342106 is an abundant number, since it is smaller than the sum of its proper divisors (663231654).

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

524342106 is a wasteful number, since it uses less digits than its factorization.

524342106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 524342106 is about 22898.5175502695. The cubic root of 524342106 is about 806.3772091330.

The spelling of 524342106 in words is "five hundred twenty-four million, three hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 101 127 202 254 303 381 606 757 762 909 1143 1514 1818 2271 2286 2727 3429 4542 5454 6813 6858 12827 13626 20439 25654 38481 40878 76457 76962 96139 115443 152914 192278 229371 230886 288417 346329 458742 576834 688113 692658 865251 1376226 1730502 2064339 2595753 4128678 5191506 9710039 19420078 29130117 58260234 87390351 174780702 262171053 524342106