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3469984 = 25722213
BaseRepresentation
bin1101001111001010100000
320112021220221
431033022200
51342014414
6202212424
741331400
oct15171240
96467827
103469984
111a60061
1211b4114
1394655b
14664800
15488224
hex34f2a0

3469984 has 36 divisors (see below), whose sum is σ = 7950474. Its totient is φ = 1486464.

The previous prime is 3469969. The next prime is 3470003. The reversal of 3469984 is 4899643.

It can be written as a sum of positive squares in only one way, i.e., 1882384 + 1587600 = 1372^2 + 1260^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3469984.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462 + ... + 2674.

Almost surely, 23469984 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 3469984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975237).

3469984 is an abundant number, since it is smaller than the sum of its proper divisors (4480490).

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

3469984 is a wasteful number, since it uses less digits than its factorization.

3469984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2222 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 3469984 is about 1862.7893063897. The cubic root of 3469984 is about 151.3941721181.

The spelling of 3469984 in words is "three million, four hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2213 4426 8852 15491 17704 30982 35408 61964 70816 108437 123928 216874 247856 433748 495712 867496 1734992 3469984