Search a number
-
+
406364442 = 23116599343
BaseRepresentation
bin11000001110001…
…010000100011010
31001022122110012220
4120032022010122
51313012130232
6104153444510
713033016661
oct3016120432
91038573186
10406364442
11199422690
12b4110736
136625c443
143bd7ddd8
1525a1e42c
hex1838a11a

406364442 has 32 divisors (see below), whose sum is σ = 888053760. Its totient is φ = 122940720.

The previous prime is 406364423. The next prime is 406364449. The reversal of 406364442 is 244463604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (406364449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38823 + ... + 48165.

It is an arithmetic number, because the mean of its divisors is an integer number (27751680).

Almost surely, 2406364442 is an apocalyptic number.

406364442 is an abundant number, since it is smaller than the sum of its proper divisors (481689318).

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

406364442 is a wasteful number, since it uses less digits than its factorization.

406364442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018.

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 406364442 is about 20158.4831274578. The cubic root of 406364442 is about 740.6935560033.

The spelling of 406364442 in words is "four hundred six million, three hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 659 1318 1977 3954 7249 9343 14498 18686 21747 28029 43494 56058 102773 205546 308319 616638 6157037 12314074 18471111 36942222 67727407 135454814 203182221 406364442