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2293408 = 251337149
BaseRepresentation
bin1000101111111010100000
311022111222001
420233322200
51041342113
6121053344
725331215
oct10577240
94274861
102293408
111327087
12927254
13623b60
14439b0c
153047dd
hex22fea0

2293408 has 48 divisors (see below), whose sum is σ = 5027400. Its totient is φ = 1022976.

The previous prime is 2293397. The next prime is 2293427. The reversal of 2293408 is 8043922.

2293408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 685584 = 1268^2 + 828^2 .

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 7 ways as a sum of consecutive naturals, for example, 15318 + ... + 15466.

22293408 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 2293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513700).

2293408 is an abundant number, since it is smaller than the sum of its proper divisors (2733992).

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

2293408 is a wasteful number, since it uses less digits than its factorization.

2293408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2293408 is about 1514.4002113048. The cubic root of 2293408 is about 131.8743830972.

It can be divided in two parts, 2293 and 408, that added together give a triangular number (2701 = T73).

The spelling of 2293408 in words is "two million, two hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 149 208 296 298 416 481 592 596 962 1184 1192 1924 1937 2384 3848 3874 4768 5513 7696 7748 11026 15392 15496 22052 30992 44104 61984 71669 88208 143338 176416 286676 573352 1146704 2293408