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7342993 = 72277541
BaseRepresentation
bin11100000000101110010001
3111211001200201
4130000232101
53334433433
6421215201
7116262100
oct34005621
914731621
107342993
114165999
122561501
1316a1388
14d92037
159a0a7d
hex700b91

7342993 has 12 divisors (see below), whose sum is σ = 8588532. Its totient is φ = 6259680.

The previous prime is 7342967. The next prime is 7343009. The reversal of 7342993 is 3992437.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 5303809 = 1428^2 + 2303^2 .

It is not a de Polignac number, because 7342993 - 217 = 7211921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7342903) 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, 13303 + ... + 13843.

It is an arithmetic number, because the mean of its divisors is an integer number (715711).

Almost surely, 27342993 is an apocalyptic number.

It is an amenable number.

7342993 is a deficient number, since it is larger than the sum of its proper divisors (1245539).

7342993 is a wasteful number, since it uses less digits than its factorization.

7342993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 825 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 7342993 is about 2709.7957487604. The cubic root of 7342993 is about 194.3678234410.

It can be divided in two parts, 7 and 342993, that added together give a cube (343000 = 703).

The spelling of 7342993 in words is "seven million, three hundred forty-two thousand, nine hundred ninety-three".

Divisors: 1 7 49 277 541 1939 3787 13573 26509 149857 1048999 7342993