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3781836 = 223319297
BaseRepresentation
bin1110011011010011001100
321010010201000
432123103030
51432004321
6213020300
744100522
oct16332314
97103630
103781836
112153393
121324690
13a25496
14706312
154ea826
hex39b4cc

3781836 has 72 divisors (see below), whose sum is σ = 10454640. Its totient is φ = 1181952.

The previous prime is 3781829. The next prime is 3781849. The reversal of 3781836 is 6381873.

3781836 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3781836.

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, 38940 + ... + 39036.

Almost surely, 23781836 is an apocalyptic number.

3781836 is a gapful number since it is divisible by the number (36) 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 3781836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227320).

3781836 is an abundant number, since it is smaller than the sum of its proper divisors (6672804).

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

3781836 is a wasteful number, since it uses less digits than its factorization.

3781836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3781836 is about 1944.6943204524. The cubic root of 3781836 is about 155.8000396589.

The spelling of 3781836 in words is "three million, seven hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 97 108 114 171 194 228 291 342 361 388 513 582 684 722 873 1026 1083 1164 1444 1746 1843 2052 2166 2619 3249 3492 3686 4332 5238 5529 6498 7372 9747 10476 11058 12996 16587 19494 22116 33174 35017 38988 49761 66348 70034 99522 105051 140068 199044 210102 315153 420204 630306 945459 1260612 1890918 3781836