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3134325040 = 2457114311833
BaseRepresentation
bin1011101011010010…
…0000000100110000
322002102210012122121
42322310200010300
522404341400130
61235003244024
7140446215610
oct27264400460
98072705577
103134325040
111369276880
12735819614
133ac485802
1421a3b0a40
15135278d7a
hexbad20130

3134325040 has 160 divisors (see below), whose sum is σ = 9297547776. Its totient is φ = 954132480.

The previous prime is 3134325011. The next prime is 3134325041. The reversal of 3134325040 is 405234313.

It is a super-3 number, since 3×31343250403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3134324996 and 3134325014.

It is not an unprimeable number, because it can be changed into a prime (3134325041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258964 + ... + 270796.

Almost surely, 23134325040 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 3134325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648773888).

3134325040 is an abundant number, since it is smaller than the sum of its proper divisors (6163222736).

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

3134325040 is a wasteful number, since it uses less digits than its factorization.

3134325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11907 (or 11901 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3134325040 is about 55985.0430025735. The cubic root of 3134325040 is about 1463.4616427579.

Adding to 3134325040 its reverse (405234313), we get a palindrome (3539559353).

The spelling of 3134325040 in words is "three billion, one hundred thirty-four million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 43 44 55 56 70 77 80 86 88 110 112 140 154 172 176 215 220 280 301 308 344 385 430 440 473 560 602 616 688 770 860 880 946 1204 1232 1505 1540 1720 1892 2365 2408 3010 3080 3311 3440 3784 4730 4816 6020 6160 6622 7568 9460 11833 12040 13244 16555 18920 23666 24080 26488 33110 37840 47332 52976 59165 66220 82831 94664 118330 130163 132440 165662 189328 236660 260326 264880 331324 414155 473320 508819 520652 650815 662648 828310 911141 946640 1017638 1041304 1301630 1325296 1656620 1822282 2035276 2082608 2544095 2603260 3313240 3561733 3644564 4070552 4555705 5088190 5206520 5597009 6626480 7123466 7289128 8141104 9111410 10176380 10413040 11194018 14246932 14578256 17808665 18222820 20352760 22388036 27985045 28493864 35617330 36445640 39179063 40705520 44776072 55970090 56987728 71234660 72891280 78358126 89552144 111940180 142469320 156716252 195895315 223880360 284938640 313432504 391790630 447760720 626865008 783581260 1567162520 3134325040