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2290464 = 253311241
BaseRepresentation
bin1000101111001100100000
311022100221000
420233030200
51041243324
6121032000
725316511
oct10571440
94270830
102290464
111324950
12925600
13622707
14438a08
153039c9
hex22f320

2290464 has 96 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 691200.

The previous prime is 2290459. The next prime is 2290471. The reversal of 2290464 is 4640922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9384 + ... + 9624.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

22290464 is an apocalyptic number.

2290464 is a gapful number since it is divisible by the number (24) 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 2290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2290464 is an abundant number, since it is smaller than the sum of its proper divisors (5027616).

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

2290464 is a wasteful number, since it uses less digits than its factorization.

2290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2290464 is about 1513.4278971923. The cubic root of 2290464 is about 131.8179308034.

The spelling of 2290464 in words is "two million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 241 264 288 297 352 396 432 482 528 594 723 792 864 964 1056 1188 1446 1584 1928 2169 2376 2651 2892 3168 3856 4338 4752 5302 5784 6507 7712 7953 8676 9504 10604 11568 13014 15906 17352 21208 23136 23859 26028 31812 34704 42416 47718 52056 63624 69408 71577 84832 95436 104112 127248 143154 190872 208224 254496 286308 381744 572616 763488 1145232 2290464