Search a number
-
+
2734408840 = 235292357249
BaseRepresentation
bin1010001011111011…
…1100010010001000
321001120021100202111
42202332330102020
521100002040330
61131155512104
7124522043302
oct24276742210
97046240674
102734408840
111183558919
126438b8634
133476733c7
141bd22c972
151100d032a
hexa2fbc488

2734408840 has 32 divisors (see below), whose sum is σ = 6364575000. Its totient is φ = 1056047104.

The previous prime is 2734408837. The next prime is 2734408849. The reversal of 2734408840 is 488044372.

It can be written as a sum of positive squares in 4 ways, for example, as 2717119876 + 17288964 = 52126^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2734408793 and 2734408802.

It is not an unprimeable number, because it can be changed into a prime (2734408849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1177465 + ... + 1179784.

Almost surely, 22734408840 is an apocalyptic number.

2734408840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2734408840 is an abundant number, since it is smaller than the sum of its proper divisors (3630166160).

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

2734408840 is a wasteful number, since it uses less digits than its factorization.

2734408840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357289 (or 2357285 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 2734408840 is about 52291.5752296677. The cubic root of 2734408840 is about 1398.3669461774.

The spelling of 2734408840 in words is "two billion, seven hundred thirty-four million, four hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2357249 4714498 9428996 11786245 18857992 23572490 47144980 68360221 94289960 136720442 273440884 341801105 546881768 683602210 1367204420 2734408840