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2330496 = 27327172
BaseRepresentation
bin1000111000111110000000
311101101211200
420320332000
51044033441
6121541200
725544310
oct10707600
94341750
102330496
111351a33
12944800
136379bc
14449440
153107b6
hex238f80

2330496 has 144 divisors (see below), whose sum is σ = 8141640. Its totient is φ = 626688.

The previous prime is 2330491. The next prime is 2330501. The reversal of 2330496 is 6940332.

It is an interprime number because it is at equal distance from previous prime (2330491) and next prime (2330501).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137080 + ... + 137096.

22330496 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 2330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070820).

2330496 is an abundant number, since it is smaller than the sum of its proper divisors (5811144).

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

2330496 is a wasteful number, since it uses less digits than its factorization.

2330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2330496 is about 1526.5962138038. The cubic root of 2330496 is about 132.5814569731.

The spelling of 2330496 in words is "two million, three hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 128 136 144 153 168 192 204 224 238 252 272 288 289 306 336 357 384 408 448 476 504 544 576 578 612 672 714 816 867 896 952 1008 1071 1088 1152 1156 1224 1344 1428 1632 1734 1904 2016 2023 2142 2176 2312 2448 2601 2688 2856 3264 3468 3808 4032 4046 4284 4624 4896 5202 5712 6069 6528 6936 7616 8064 8092 8568 9248 9792 10404 11424 12138 13872 15232 16184 17136 18207 18496 19584 20808 22848 24276 27744 32368 34272 36414 36992 41616 45696 48552 55488 64736 68544 72828 83232 97104 110976 129472 137088 145656 166464 194208 258944 291312 332928 388416 582624 776832 1165248 2330496