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2353140 = 2232517769
BaseRepresentation
bin1000111110011111110100
311102112220100
420332133310
51100300030
6122234100
726000316
oct10763764
94375810
102353140
111367a49
12955930
136450ba
144537b6
15317360
hex23e7f4

2353140 has 72 divisors (see below), whose sum is σ = 7567560. Its totient is φ = 589824.

The previous prime is 2353129. The next prime is 2353159. The reversal of 2353140 is 413532.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 1971216 = 618^2 + 1404^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2676 + ... + 3444.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

22353140 is an apocalyptic number.

2353140 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 2353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783780).

2353140 is an abundant number, since it is smaller than the sum of its proper divisors (5214420).

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

2353140 is a wasteful number, since it uses less digits than its factorization.

2353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2353140 is about 1533.9947848673. The cubic root of 2353140 is about 133.0094779082.

Adding to 2353140 its reverse (413532), we get a palindrome (2766672).

It can be divided in two parts, 235 and 3140, that added together give a cube (3375 = 153).

The spelling of 2353140 in words is "two million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 769 1020 1530 1538 2307 3060 3076 3845 4614 6921 7690 9228 11535 13073 13842 15380 23070 26146 27684 34605 39219 46140 52292 65365 69210 78438 117657 130730 138420 156876 196095 235314 261460 392190 470628 588285 784380 1176570 2353140