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2309328 = 243272979
BaseRepresentation
bin1000110011110011010000
311100022210200
420303303100
51042344303
6121255200
725425510
oct10636320
94308720
102309328
11133803a
12934500
1362b188
14441840
153093a3
hex233cd0

2309328 has 120 divisors (see below), whose sum is σ = 7737600. Its totient is φ = 628992.

The previous prime is 2309327. The next prime is 2309339. The reversal of 2309328 is 8239032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2309323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29193 + ... + 29271.

It is an arithmetic number, because the mean of its divisors is an integer number (64480).

22309328 is an apocalyptic number.

2309328 is a gapful number since it is divisible by the number (28) 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 2309328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868800).

2309328 is an abundant number, since it is smaller than the sum of its proper divisors (5428272).

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

2309328 is a wasteful number, since it uses less digits than its factorization.

2309328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2309328 is about 1519.6473275073. The cubic root of 2309328 is about 132.1788210019.

The spelling of 2309328 in words is "two million, three hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 79 84 87 112 116 126 144 158 168 174 203 232 237 252 261 316 336 348 406 464 474 504 522 553 609 632 696 711 812 948 1008 1044 1106 1218 1264 1392 1422 1624 1659 1827 1896 2088 2212 2291 2436 2844 3248 3318 3654 3792 4176 4424 4582 4872 4977 5688 6636 6873 7308 8848 9164 9744 9954 11376 13272 13746 14616 16037 18328 19908 20619 26544 27492 29232 32074 36656 39816 41238 48111 54984 64148 79632 82476 96222 109968 128296 144333 164952 192444 256592 288666 329904 384888 577332 769776 1154664 2309328