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3134849832 = 233241259439
BaseRepresentation
bin1011101011011010…
…0000001100101000
322002110202212112100
42322312200030220
522410010143312
61235022413400
7140453532612
oct27266401450
98073685470
103134849832
1113695a5094
12735a31260
133ac60a63a
1421a4a9db2
1513532e5dc
hexbada0328

3134849832 has 144 divisors (see below), whose sum is σ = 8870004000. Its totient is φ = 999901440.

The previous prime is 3134849819. The next prime is 3134849849. The reversal of 3134849832 is 2389484313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7140669 + ... + 7141107.

It is an arithmetic number, because the mean of its divisors is an integer number (61597250).

Almost surely, 23134849832 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 3134849832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435002000).

3134849832 is an abundant number, since it is smaller than the sum of its proper divisors (5735154168).

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

3134849832 is a wasteful number, since it uses less digits than its factorization.

3134849832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 544 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3134849832 is about 55989.7297010800. The cubic root of 3134849832 is about 1463.5433158553.

The spelling of 3134849832 in words is "three billion, one hundred thirty-four million, eight hundred forty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 59 72 82 118 123 164 177 236 246 328 354 369 439 472 492 531 708 738 878 984 1062 1317 1416 1476 1681 1756 2124 2419 2634 2952 3362 3512 3951 4248 4838 5043 5268 6724 7257 7902 9676 10086 10536 13448 14514 15129 15804 17999 19352 20172 21771 25901 29028 30258 31608 35998 40344 43542 51802 53997 58056 60516 71996 77703 87084 99179 103604 107994 121032 143992 155406 161991 174168 198358 207208 215988 233109 297537 310812 323982 396716 431976 466218 595074 621624 647964 737959 793432 892611 932436 1061941 1190148 1295928 1475918 1785222 1864872 2123882 2213877 2380296 2951836 3185823 3570444 4247764 4427754 5903672 6371646 6641631 7140888 8495528 8855508 9557469 12743292 13283262 17711016 19114938 25486584 26566524 38229876 43539581 53133048 76459752 87079162 130618743 174158324 261237486 348316648 391856229 522474972 783712458 1044949944 1567424916 3134849832