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3424464 = 24337927
BaseRepresentation
bin1101000100000011010000
320102222111000
431010003100
51334040324
6201222000
741051601
oct15040320
96388430
103424464
111a2993a
121191900
1392b914
14651da8
154799c9
hex3440d0

3424464 has 40 divisors (see below), whose sum is σ = 9830720. Its totient is φ = 1141344.

The previous prime is 3424459. The next prime is 3424469. The reversal of 3424464 is 4644243.

It is an interprime number because it is at equal distance from previous prime (3424459) and next prime (3424469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3532 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (245768).

Almost surely, 23424464 is an apocalyptic number.

It is an amenable number.

3424464 is an abundant number, since it is smaller than the sum of its proper divisors (6406256).

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

3424464 is a wasteful number, since it uses less digits than its factorization.

3424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7932 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 3424464 is about 1850.5307346813. The cubic root of 3424464 is about 150.7292488949.

The spelling of 3424464 in words is "three million, four hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7927 15854 23781 31708 47562 63416 71343 95124 126832 142686 190248 214029 285372 380496 428058 570744 856116 1141488 1712232 3424464