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2274408 = 2332311019
BaseRepresentation
bin1000101011010001101000
311021112220100
420223101220
51040240113
6120425400
725221633
oct10532150
94245810
102274408
111313884
12918260
13618306
14432c1a
152edd73
hex22b468

2274408 has 48 divisors (see below), whose sum is σ = 6364800. Its totient is φ = 732960.

The previous prime is 2274407. The next prime is 2274409. The reversal of 2274408 is 8044722.

It is an interprime number because it is at equal distance from previous prime (2274407) and next prime (2274409).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2274407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1723 + ... + 2741.

It is an arithmetic number, because the mean of its divisors is an integer number (132600).

22274408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182400).

2274408 is an abundant number, since it is smaller than the sum of its proper divisors (4090392).

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

2274408 is a wasteful number, since it uses less digits than its factorization.

2274408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2274408 is about 1508.1140540423. The cubic root of 2274408 is about 131.5091966369.

The spelling of 2274408 in words is "two million, two hundred seventy-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1019 1116 2038 2232 3057 4076 6114 8152 9171 12228 18342 24456 31589 36684 63178 73368 94767 126356 189534 252712 284301 379068 568602 758136 1137204 2274408