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4406064 = 2431323307
BaseRepresentation
bin10000110011101100110000
322021211222120
4100303230300
52111443224
6234234240
752310445
oct20635460
98254876
104406064
11253a383
121585980
13bb3650
148299cc
155c0779
hex433b30

4406064 has 80 divisors (see below), whose sum is σ = 12832512. Its totient is φ = 1292544.

The previous prime is 4406023. The next prime is 4406069. The reversal of 4406064 is 4606044.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406069) 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, 14199 + ... + 14505.

Almost surely, 24406064 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 4406064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416256).

4406064 is an abundant number, since it is smaller than the sum of its proper divisors (8426448).

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

4406064 is a wasteful number, since it uses less digits than its factorization.

4406064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4406064 is about 2099.0626479455. The cubic root of 4406064 is about 163.9394978094.

The spelling of 4406064 in words is "four million, four hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 307 312 368 552 598 614 624 897 921 1104 1196 1228 1794 1842 2392 2456 3588 3684 3991 4784 4912 7061 7176 7368 7982 11973 14122 14352 14736 15964 21183 23946 28244 31928 42366 47892 56488 63856 84732 91793 95784 112976 169464 183586 191568 275379 338928 367172 550758 734344 1101516 1468688 2203032 4406064