Search a number
-
+
34550140320 = 2532553452701
BaseRepresentation
bin100000001011010110…
…010100110110100000
310022011212011222110200
4200023112110312200
51031224313442240
623512213225200
72332120230033
oct401326246640
9108155158420
1034550140320
111371a720883
126842932200
133347c75b17
14195a88701a
15d7331d930
hex80b594da0

34550140320 has 144 divisors (see below), whose sum is σ = 120127191912. Its totient is φ = 9039513600.

The previous prime is 34550140301. The next prime is 34550140337. The reversal of 34550140320 is 2304105543.

It can be written as a sum of positive squares in 4 ways, for example, as 33020704656 + 1529435664 = 181716^2 + 39108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×345501403202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150031 + ... + 302670.

Almost surely, 234550140320 is an apocalyptic number.

34550140320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34550140320 is an abundant number, since it is smaller than the sum of its proper divisors (85577051592).

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

34550140320 is a wasteful number, since it uses less digits than its factorization.

34550140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452775 (or 452764 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 34550140320 its reverse (2304105543), we get a palindrome (36854245863).

The spelling of 34550140320 in words is "thirty-four billion, five hundred fifty million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 76320 452701 905402 1358103 1810804 2263505 2716206 3621608 4074309 4527010 5432412 6790515 7243216 8148618 9054020 10864824 13581030 14486432 16297236 18108040 20371545 21729648 23993153 27162060 32594472 36216080 40743090 43459296 47986306 54324120 65188944 71979459 72432160 81486180 95972612 108648240 119965765 130377888 143958918 162972360 191945224 215938377 217296480 239931530 287917836 325944720 359897295 383890448 431876754 479863060 575835672 651889440 719794590 767780896 863753508 959726120 1079691885 1151671344 1439589180 1727507016 1919452240 2159383770 2303342688 2879178360 3455014032 3838904480 4318767540 5758356720 6910028064 8637535080 11516713440 17275070160 34550140320