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3289464 = 233397157
BaseRepresentation
bin1100100011000101111000
320012010022000
430203011320
51320230324
6154301000
736650163
oct14430570
96163260
103289464
111947472
121127760
138b2339
14618ada
1544e9c9
hex323178

3289464 has 64 divisors (see below), whose sum is σ = 9290400. Its totient is φ = 1078272.

The previous prime is 3289463. The next prime is 3289493. The reversal of 3289464 is 4649823.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 313 + 213 + 83 + 94 + 4 + 68 + 44 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20874 + ... + 21030.

Almost surely, 23289464 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 3289464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645200).

3289464 is an abundant number, since it is smaller than the sum of its proper divisors (6000936).

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

3289464 is a wasteful number, since it uses less digits than its factorization.

3289464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3289464 is about 1813.6879555205. The cubic root of 3289464 is about 148.7219413687.

The spelling of 3289464 in words is "three million, two hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 157 194 216 291 314 388 471 582 628 776 873 942 1164 1256 1413 1746 1884 2328 2619 2826 3492 3768 4239 5238 5652 6984 8478 10476 11304 15229 16956 20952 30458 33912 45687 60916 91374 121832 137061 182748 274122 365496 411183 548244 822366 1096488 1644732 3289464