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2348240 = 245149197
BaseRepresentation
bin1000111101010011010000
311102022011212
420331103100
51100120430
6122155252
725650116
oct10752320
94368155
102348240
1113642a4
12952b28
13642abb
14451ab6
15315b95
hex23d4d0

2348240 has 40 divisors (see below), whose sum is σ = 5524200. Its totient is φ = 928256.

The previous prime is 2348239. The next prime is 2348251. The reversal of 2348240 is 428432.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 1948816 = 632^2 + 1396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11822 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (138105).

22348240 is an apocalyptic number.

2348240 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 2348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762100).

2348240 is an abundant number, since it is smaller than the sum of its proper divisors (3175960).

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

2348240 is a wasteful number, since it uses less digits than its factorization.

2348240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2348240 is about 1532.3968154496. The cubic root of 2348240 is about 132.9170908073.

The spelling of 2348240 in words is "two million, three hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 197 298 394 596 745 788 985 1192 1490 1576 1970 2384 2980 3152 3940 5960 7880 11920 15760 29353 58706 117412 146765 234824 293530 469648 587060 1174120 2348240