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2293376 = 27192341
BaseRepresentation
bin1000101111111010000000
311022111220212
420233322000
51041342001
6121053252
725331141
oct10577200
94274825
102293376
111327058
12927228
13623b37
14439ac8
153047bb
hex22fe80

2293376 has 64 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 1013760.

The previous prime is 2293367. The next prime is 2293391. The reversal of 2293376 is 6733922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 213 + 219 + 92 + 37 + 313 + 76 + 66 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55916 + ... + 55956.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

22293376 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 2293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2293376 is an abundant number, since it is smaller than the sum of its proper divisors (2847424).

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

2293376 is a wasteful number, since it uses less digits than its factorization.

2293376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 2293376 is about 1514.3896460291. The cubic root of 2293376 is about 131.8737697451.

The spelling of 2293376 in words is "two million, two hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 23 32 38 41 46 64 76 82 92 128 152 164 184 304 328 368 437 608 656 736 779 874 943 1216 1312 1472 1558 1748 1886 2432 2624 2944 3116 3496 3772 5248 6232 6992 7544 12464 13984 15088 17917 24928 27968 30176 35834 49856 55936 60352 71668 99712 120704 143336 286672 573344 1146688 2293376