Search a number
-
+
3358992 = 243713769
BaseRepresentation
bin1100110100000100010000
320022122200010
430310010100
51324441432
6155554520
740356660
oct14640420
96278603
103358992
11199472a
12115ba40
13907b90
146361a0
154653cc
hex334110

3358992 has 80 divisors (see below), whose sum is σ = 10693760. Its totient is φ = 884736.

The previous prime is 3358987. The next prime is 3358997. The reversal of 3358992 is 2998533.

It is an interprime number because it is at equal distance from previous prime (3358987) and next prime (3358997).

It is a super-2 number, since 2×33589922 = 22565654512128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3358992.

It is not an unprimeable number, because it can be changed into a prime (3358997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3984 + ... + 4752.

It is an arithmetic number, because the mean of its divisors is an integer number (133672).

Almost surely, 23358992 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 3358992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346880).

3358992 is an abundant number, since it is smaller than the sum of its proper divisors (7334768).

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

3358992 is a wasteful number, since it uses less digits than its factorization.

3358992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 3358992 is about 1832.7553028160. The cubic root of 3358992 is about 149.7624685016.

The spelling of 3358992 in words is "three million, three hundred fifty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 769 1092 1456 1538 2184 2307 3076 4368 4614 5383 6152 9228 9997 10766 12304 16149 18456 19994 21532 29991 32298 36912 39988 43064 59982 64596 69979 79976 86128 119964 129192 139958 159952 209937 239928 258384 279916 419874 479856 559832 839748 1119664 1679496 3358992