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2345728 = 28721117
BaseRepresentation
bin1000111100101100000000
311102011201211
420330230000
51100030403
6122135504
725636600
oct10745400
94364654
102345728
111362420
12951594
13641908
14450c00
1531506d
hex23cb00

2345728 has 108 divisors (see below), whose sum is σ = 6291432. Its totient is φ = 860160.

The previous prime is 2345713. The next prime is 2345729. The reversal of 2345728 is 8275432.

It is a self number, because there is not a number n which added to its sum of digits gives 2345728.

It is not an unprimeable number, because it can be changed into a prime (2345729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137976 + ... + 137992.

It is an arithmetic number, because the mean of its divisors is an integer number (58254).

22345728 is an apocalyptic number.

2345728 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 2345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145716).

2345728 is an abundant number, since it is smaller than the sum of its proper divisors (3945704).

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

2345728 is a wasteful number, since it uses less digits than its factorization.

2345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 37 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 2345728 is about 1531.5769650919. The cubic root of 2345728 is about 132.8696784388.

The spelling of 2345728 in words is "two million, three hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 77 88 98 112 119 128 136 154 176 187 196 224 238 256 272 308 352 374 392 448 476 539 544 616 704 748 784 833 896 952 1078 1088 1232 1309 1408 1496 1568 1666 1792 1904 2156 2176 2464 2618 2816 2992 3136 3332 3808 4312 4352 4928 5236 5984 6272 6664 7616 8624 9163 9856 10472 11968 12544 13328 15232 17248 18326 19712 20944 23936 26656 30464 34496 36652 41888 47872 53312 68992 73304 83776 106624 137984 146608 167552 213248 293216 335104 586432 1172864 2345728