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2334240 = 253251621
BaseRepresentation
bin1000111001111000100000
311101120222100
420321320200
51044143430
6122010400
725561236
oct10717040
94346870
102334240
111354827
12946a00
1363960c
1444a956
15311960
hex239e20

2334240 has 72 divisors (see below), whose sum is σ = 7970508. Its totient is φ = 622080.

The previous prime is 2334229. The next prime is 2334251. The reversal of 2334240 is 424332.

It is an interprime number because it is at equal distance from previous prime (2334229) and next prime (2334251).

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 11664 = 1524^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 630 + ... + 2250.

22334240 is an apocalyptic number.

2334240 is a gapful number since it is divisible by the number (20) 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 2334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985254).

2334240 is an abundant number, since it is smaller than the sum of its proper divisors (5636268).

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

2334240 is a wasteful number, since it uses less digits than its factorization.

2334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2334240 is about 1527.8219791586. The cubic root of 2334240 is about 132.6524174601.

Adding to 2334240 its reverse (424332), we get a palindrome (2758572).

The spelling of 2334240 in words is "two million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1621 3242 4863 6484 8105 9726 12968 14589 16210 19452 24315 25936 29178 32420 38904 48630 51872 58356 64840 72945 77808 97260 116712 129680 145890 155616 194520 233424 259360 291780 389040 466848 583560 778080 1167120 2334240