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3148224 = 26319863
BaseRepresentation
bin1100000000100111000000
312220221112220
430000213000
51301220344
6151251040
735521332
oct14004700
95827486
103148224
111860342
121079a80
13862c71
145bd452
15422c19
hex3009c0

3148224 has 56 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 993024.

The previous prime is 3148193. The next prime is 3148231. The reversal of 3148224 is 4228413.

3148224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31482242 = 19822628708352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 3148194 and 3148203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217 + ... + 4079.

Almost surely, 23148224 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 3148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

3148224 is an abundant number, since it is smaller than the sum of its proper divisors (5630016).

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

3148224 is a wasteful number, since it uses less digits than its factorization.

3148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3148224 is about 1774.3235330683. The cubic root of 3148224 is about 146.5621661484.

The spelling of 3148224 in words is "three million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 863 912 1216 1726 1824 2589 3452 3648 5178 6904 10356 13808 16397 20712 27616 32794 41424 49191 55232 65588 82848 98382 131176 165696 196764 262352 393528 524704 787056 1049408 1574112 3148224