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2393376 = 253107233
BaseRepresentation
bin1001001000010100100000
311111121002120
421020110200
51103042001
6123144240
726225526
oct11102440
94447076
102393376
1113951a7
12975080
1365a4cb
14464316
15324236
hex248520

2393376 has 48 divisors (see below), whose sum is σ = 6368544. Its totient is φ = 786944.

The previous prime is 2393351. The next prime is 2393389. The reversal of 2393376 is 6733932.

It is a tau number, because it is divible by the number of its divisors (48).

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, 10156 + ... + 10388.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

22393376 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 2393376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272).

2393376 is an abundant number, since it is smaller than the sum of its proper divisors (3975168).

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

2393376 is a wasteful number, since it uses less digits than its factorization.

2393376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 20412, while the sum is 33.

The square root of 2393376 is about 1547.0539744947. The cubic root of 2393376 is about 133.7633008579.

The spelling of 2393376 in words is "two million, three hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 233 321 428 466 642 699 856 932 1284 1398 1712 1864 2568 2796 3424 3728 5136 5592 7456 10272 11184 22368 24931 49862 74793 99724 149586 199448 299172 398896 598344 797792 1196688 2393376