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3870464 = 28131163
BaseRepresentation
bin1110110000111100000000
321021122021112
432300330000
51442323324
6214542452
744620103
oct16607400
97248245
103870464
112203a34
121367a28
13a56920
1472a73a
15516c0e
hex3b0f00

3870464 has 36 divisors (see below), whose sum is σ = 8327256. Its totient is φ = 1784832.

The previous prime is 3870457. The next prime is 3870467. The reversal of 3870464 is 4640783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3870464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870467) 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, 2747 + ... + 3909.

Almost surely, 23870464 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 3870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163628).

3870464 is an abundant number, since it is smaller than the sum of its proper divisors (4456792).

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

3870464 is a wasteful number, since it uses less digits than its factorization.

3870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3870464 is about 1967.3494859836. The cubic root of 3870464 is about 157.0077213669.

It can be divided in two parts, 3870 and 464, that added together give a palindrome (4334).

The spelling of 3870464 in words is "three million, eight hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1163 1664 2326 3328 4652 9304 15119 18608 30238 37216 60476 74432 120952 148864 241904 297728 483808 967616 1935232 3870464