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3821634 = 2331723181
BaseRepresentation
bin1110100101000001000010
321012011022000
432211001002
51434243014
6213524430
744324535
oct16450102
97164260
103821634
112180283
121343716
13a3a62b
14716a1c
15507509
hex3a5042

3821634 has 64 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1140480.

The previous prime is 3821633. The next prime is 3821639. The reversal of 3821634 is 4361283.

It is a happy number.

3821634 is a `hidden beast` number, since 3 + 8 + 21 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3821598 and 3821607.

It is not an unprimeable number, because it can be changed into a prime (3821633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21024 + ... + 21204.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 23821634 is an apocalyptic number.

3821634 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3821634 is an abundant number, since it is smaller than the sum of its proper divisors (5613246).

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

3821634 is a wasteful number, since it uses less digits than its factorization.

3821634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3821634 is about 1954.8999974423. The cubic root of 3821634 is about 156.3446521972.

It can be divided in two parts, 382 and 1634, that added together give a triangular number (2016 = T63).

The spelling of 3821634 in words is "three million, eight hundred twenty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 181 207 306 362 391 414 459 543 621 782 918 1086 1173 1242 1629 2346 3077 3258 3519 4163 4887 6154 7038 8326 9231 9774 10557 12489 18462 21114 24978 27693 37467 55386 70771 74934 83079 112401 141542 166158 212313 224802 424626 636939 1273878 1910817 3821634