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2293440 = 26352389
BaseRepresentation
bin1000101111111011000000
311022112000020
420233323000
51041342230
6121053440
725331262
oct10577300
94275006
102293440
111327106
12927280
13623b86
14439b32
15304810
hex22fec0

2293440 has 56 divisors (see below), whose sum is σ = 7284720. Its totient is φ = 611328.

The previous prime is 2293439. The next prime is 2293463. The reversal of 2293440 is 443922.

It is a happy number.

2293440 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2293440.

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, 235 + ... + 2154.

22293440 is an apocalyptic number.

2293440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642360).

2293440 is an abundant number, since it is smaller than the sum of its proper divisors (4991280).

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

2293440 is a wasteful number, since it uses less digits than its factorization.

2293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2293440 is about 1514.4107765068. The cubic root of 2293440 is about 131.8749964436.

The spelling of 2293440 in words is "two million, two hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2389 4778 7167 9556 11945 14334 19112 23890 28668 35835 38224 47780 57336 71670 76448 95560 114672 143340 152896 191120 229344 286680 382240 458688 573360 764480 1146720 2293440