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2345040 = 243253257
BaseRepresentation
bin1000111100100001010000
311102010210100
420330201100
51100020130
6122132400
725634565
oct10744120
94363710
102345040
111361955
12951100
136414c9
1445086c
15314c60
hex23c850

2345040 has 60 divisors (see below), whose sum is σ = 7877844. Its totient is φ = 625152.

The previous prime is 2345039. The next prime is 2345041. The reversal of 2345040 is 405432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2345039) and next prime (2345041).

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 876096 = 1212^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345041) 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, 909 + ... + 2348.

22345040 is an apocalyptic number.

2345040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345040 is an abundant number, since it is smaller than the sum of its proper divisors (5532804).

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

2345040 is a wasteful number, since it uses less digits than its factorization.

2345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2345040 is about 1531.3523435186. The cubic root of 2345040 is about 132.8566869812.

The spelling of 2345040 in words is "two million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3257 6514 9771 13028 16285 19542 26056 29313 32570 39084 48855 52112 58626 65140 78168 97710 117252 130280 146565 156336 195420 234504 260560 293130 390840 469008 586260 781680 1172520 2345040