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3148384224 = 253171929157
BaseRepresentation
bin1011101110101000…
…1000011111100000
322010102020111020010
42323222020133200
522421441243344
61240224444520
7141006552516
oct27352103740
98112214203
103148384224
1113761a9737
1273a479740
133b2368b5b
1421c1d04b6
151366048b9
hexbba887e0

3148384224 has 48 divisors (see below), whose sum is σ = 8750660688. Its totient is φ = 987727872.

The previous prime is 3148384199. The next prime is 3148384237. The reversal of 3148384224 is 4224838413.

It is a happy number.

3148384224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 962947 + ... + 966210.

It is an arithmetic number, because the mean of its divisors is an integer number (182305431).

Almost surely, 23148384224 is an apocalyptic number.

3148384224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3148384224 is an abundant number, since it is smaller than the sum of its proper divisors (5602276464).

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

3148384224 is a wasteful number, since it uses less digits than its factorization.

3148384224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929187 (or 1929179 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 3148384224 is about 56110.4644785623. The cubic root of 3148384224 is about 1465.6465245794.

The spelling of 3148384224 in words is "three billion, one hundred forty-eight million, three hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1929157 3858314 5787471 7716628 11574942 15433256 23149884 30866512 32795669 46299768 61733024 65591338 92599536 98387007 131182676 185199072 196774014 262365352 393548028 524730704 787096056 1049461408 1574192112 3148384224