Search a number
-
+
3486924 = 22327101137
BaseRepresentation
bin1101010011010011001100
320120011011100
431103103030
51343040144
6202423100
741431650
oct15232314
96504140
103486924
111a71861
121201a90
1395118c
1466aa60
1548d269
hex3534cc

3486924 has 72 divisors (see below), whose sum is σ = 10247328. Its totient is φ = 979200.

The previous prime is 3486919. The next prime is 3486941. The reversal of 3486924 is 4296843.

3486924 = T485 + T486 + ... + T512.

It is a happy number.

3486924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 37 + 42 + 8 + 67 + 95 + 221 + 410 .

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 23 ways as a sum of consecutive naturals, for example, 25384 + ... + 25520.

It is an arithmetic number, because the mean of its divisors is an integer number (142324).

Almost surely, 23486924 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 3486924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123664).

3486924 is an abundant number, since it is smaller than the sum of its proper divisors (6760404).

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

3486924 is a wasteful number, since it uses less digits than its factorization.

3486924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

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

The square root of 3486924 is about 1867.3307152189. The cubic root of 3486924 is about 151.6401343650.

The spelling of 3486924 in words is "three million, four hundred eighty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 137 202 252 274 303 404 411 548 606 707 822 909 959 1212 1233 1414 1644 1818 1918 2121 2466 2828 2877 3636 3836 4242 4932 5754 6363 8484 8631 11508 12726 13837 17262 25452 27674 34524 41511 55348 83022 96859 124533 166044 193718 249066 290577 387436 498132 581154 871731 1162308 1743462 3486924