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3764464 = 241173293
BaseRepresentation
bin1110010111000011110000
321002020212121
432113003300
51430430324
6212404024
743666054
oct16270360
97066777
103764464
112141330
121316614
13a1a5c2
146ddc64
154e55e4
hex3970f0

3764464 has 40 divisors (see below), whose sum is σ = 8093232. Its totient is φ = 1681920.

The previous prime is 3764459. The next prime is 3764471. The reversal of 3764464 is 4644673.

3764464 is nontrivially palindromic in base 15.

3764464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12702 + ... + 12994.

Almost surely, 23764464 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 3764464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046616).

3764464 is an abundant number, since it is smaller than the sum of its proper divisors (4328768).

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

3764464 is a wasteful number, since it uses less digits than its factorization.

3764464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 48384, while the sum is 34.

The square root of 3764464 is about 1940.2226676338. Note that the first 3 decimals coincide. The cubic root of 3764464 is about 155.5611157499.

It can be divided in two parts, 3 and 764464, that added together give a palindrome (764467).

The spelling of 3764464 in words is "three million, seven hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 293 584 586 803 1168 1172 1606 2344 3212 3223 4688 6424 6446 12848 12892 21389 25784 42778 51568 85556 171112 235279 342224 470558 941116 1882232 3764464