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3140338752 = 26329076011
BaseRepresentation
bin1011101100101101…
…1100010001000000
322002212002201220200
42323023130101000
522412411320002
61235340205200
7140551303365
oct27313342100
98085081820
103140338752
111371703a91
12737839800
133b07acb15
1421b0d846c
15135a65b1c
hexbb2dc440

3140338752 has 84 divisors (see below), whose sum is σ = 9012637296. Its totient is φ = 1045451520.

The previous prime is 3140338739. The next prime is 3140338757. The reversal of 3140338752 is 2578330413.

3140338752 is a `hidden beast` number, since 314 + 0 + 338 + 7 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3140338757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519427 + ... + 525437.

Almost surely, 23140338752 is an apocalyptic number.

3140338752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506318648).

3140338752 is an abundant number, since it is smaller than the sum of its proper divisors (5872298544).

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

3140338752 is a wasteful number, since it uses less digits than its factorization.

3140338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3140338752 is about 56038.7254673052. The cubic root of 3140338752 is about 1464.3970078004.

The spelling of 3140338752 in words is "three billion, one hundred forty million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 907 1814 2721 3628 5442 6011 7256 8163 10884 12022 14512 16326 18033 21768 24044 29024 32652 36066 43536 48088 54099 58048 65304 72132 87072 96176 108198 130608 144264 174144 192352 216396 261216 288528 384704 432792 522432 577056 865584 1154112 1731168 3462336 5451977 10903954 16355931 21807908 32711862 43615816 49067793 65423724 87231632 98135586 130847448 174463264 196271172 261694896 348926528 392542344 523389792 785084688 1046779584 1570169376 3140338752