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2313840 = 243531311
BaseRepresentation
bin1000110100111001110000
311100112222210
420310321300
51043020330
6121332120
725444614
oct10647160
94315883
102313840
111340471
12937040
13630249
14443344
1530a8b0
hex234e70

2313840 has 80 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 595200.

The previous prime is 2313833. The next prime is 2313847. The reversal of 2313840 is 483132.

It is a happy number.

2313840 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (2313833) and next prime (2313847).

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285 + ... + 7595.

22313840 is an apocalyptic number.

2313840 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 2313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

2313840 is an abundant number, since it is smaller than the sum of its proper divisors (5114256).

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

2313840 is a wasteful number, since it uses less digits than its factorization.

2313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2313840 is about 1521.1311580531. The cubic root of 2313840 is about 132.2648493254.

Adding to 2313840 its reverse (483132), we get a palindrome (2796972).

The spelling of 2313840 in words is "two million, three hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 311 372 465 496 620 622 744 930 933 1240 1244 1488 1555 1860 1866 2480 2488 3110 3720 3732 4665 4976 6220 7440 7464 9330 9641 12440 14928 18660 19282 24880 28923 37320 38564 48205 57846 74640 77128 96410 115692 144615 154256 192820 231384 289230 385640 462768 578460 771280 1156920 2313840