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2378740 = 2257131307
BaseRepresentation
bin1001000100101111110100
311110212000111
421010233310
51102104430
6122552404
726135050
oct11045764
94425014
102378740
111385201
12968704
13653950
1445cc60
1531ec2a
hex244bf4

2378740 has 48 divisors (see below), whose sum is σ = 6152832. Its totient is φ = 752256.

The previous prime is 2378737. The next prime is 2378749. The reversal of 2378740 is 478732.

2378740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 2473.

It is an arithmetic number, because the mean of its divisors is an integer number (128184).

22378740 is an apocalyptic number.

2378740 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 2378740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076416).

2378740 is an abundant number, since it is smaller than the sum of its proper divisors (3774092).

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

2378740 is a wasteful number, since it uses less digits than its factorization.

2378740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 2378740 is about 1542.3164396452. The cubic root of 2378740 is about 133.4900795464.

The spelling of 2378740 in words is "two million, three hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1307 1820 2614 5228 6535 9149 13070 16991 18298 26140 33982 36596 45745 67964 84955 91490 118937 169910 182980 237874 339820 475748 594685 1189370 2378740