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2414328 = 233722053
BaseRepresentation
bin1001001101011011111000
311112122211120
421031123320
51104224303
6123425240
726343600
oct11153370
94478746
102414328
1113a9a14
12985220
13666bc7
1446bc00
1532a553
hex24d6f8

2414328 has 48 divisors (see below), whose sum is σ = 7024680. Its totient is φ = 689472.

The previous prime is 2414299. The next prime is 2414341. The reversal of 2414328 is 8234142.

2414328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2414298 and 2414307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150 + ... + 2202.

22414328 is an apocalyptic number.

2414328 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 2414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512340).

2414328 is an abundant number, since it is smaller than the sum of its proper divisors (4610352).

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

2414328 is a wasteful number, since it uses less digits than its factorization.

2414328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2065 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2414328 is about 1553.8107992931. The cubic root of 2414328 is about 134.1524958778.

The spelling of 2414328 in words is "two million, four hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2053 4106 6159 8212 12318 14371 16424 24636 28742 43113 49272 57484 86226 100597 114968 172452 201194 301791 344904 402388 603582 804776 1207164 2414328