Search a number
-
+
2378940 = 2235311279
BaseRepresentation
bin1001000100110010111100
311110212021220
421010302330
51102111230
6122553340
726135454
oct11046274
94425256
102378940
111385373
12968850
13653a75
1445cd64
1531ed10
hex244cbc

2378940 has 48 divisors (see below), whose sum is σ = 6881280. Its totient is φ = 613440.

The previous prime is 2378921. The next prime is 2378951. The reversal of 2378940 is 498732.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221 + ... + 2499.

It is an arithmetic number, because the mean of its divisors is an integer number (143360).

22378940 is an apocalyptic number.

2378940 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 2378940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440640).

2378940 is an abundant number, since it is smaller than the sum of its proper divisors (4502340).

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

2378940 is a wasteful number, since it uses less digits than its factorization.

2378940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2378940 is about 1542.3812758200. The cubic root of 2378940 is about 133.4938206401.

The spelling of 2378940 in words is "two million, three hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1279 1860 2558 3837 5116 6395 7674 12790 15348 19185 25580 38370 39649 76740 79298 118947 158596 198245 237894 396490 475788 594735 792980 1189470 2378940