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3416064 = 2133139
BaseRepresentation
bin1101000010000000000000
320102112221220
431002000000
51333303224
6201115040
741015241
oct15020000
96375856
103416064
111a235a3
121188a80
13927b52
1464ccc8
15477279
hex342000

3416064 has 56 divisors (see below), whose sum is σ = 9174480. Its totient is φ = 1130496.

The previous prime is 3416059. The next prime is 3416069. The reversal of 3416064 is 4606143.

It is an interprime number because it is at equal distance from previous prime (3416059) and next prime (3416069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3416069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24507 + ... + 24645.

It is an arithmetic number, because the mean of its divisors is an integer number (163830).

Almost surely, 23416064 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 3416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587240).

3416064 is an abundant number, since it is smaller than the sum of its proper divisors (5758416).

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

3416064 is an equidigital number, since it uses as much as digits as its factorization.

3416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3416064 is about 1848.2597220088. The cubic root of 3416064 is about 150.6059047894.

The spelling of 3416064 in words is "three million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2048 2224 3072 3336 4096 4448 6144 6672 8192 8896 12288 13344 17792 24576 26688 35584 53376 71168 106752 142336 213504 284672 427008 569344 854016 1138688 1708032 3416064