Search a number
-
+
2923416 = 2332192137
BaseRepresentation
bin1011001001101110011000
312111112011200
423021232120
51222022131
6142354200
733564036
oct13115630
95445150
102923416
111717451
12b8b960
137b4842
14561556
153cb2e6
hex2c9b98

2923416 has 48 divisors (see below), whose sum is σ = 8338200. Its totient is φ = 922752.

The previous prime is 2923409. The next prime is 2923421. The reversal of 2923416 is 6143292.

2923416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29234162 = 17092722218112, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2923416.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 300 + ... + 2436.

22923416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2923416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169100).

2923416 is an abundant number, since it is smaller than the sum of its proper divisors (5414784).

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

2923416 is a wasteful number, since it uses less digits than its factorization.

2923416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2161 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2923416 is about 1709.7999883027. The cubic root of 2923416 is about 142.9871049712.

The spelling of 2923416 in words is "two million, nine hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2137 4274 6411 8548 12822 17096 19233 25644 38466 40603 51288 76932 81206 121809 153864 162412 243618 324824 365427 487236 730854 974472 1461708 2923416