Search a number
-
+
1340983872 = 26329724001
BaseRepresentation
bin100111111101101…
…1100101001000000
310110110022001001100
41033323130221000
510221242440442
6341021534400
745142113654
oct11773345100
93413261040
101340983872
11628a50038
12315114400
13184a875a7
14ca14ca64
157cad884c
hex4fedca40

1340983872 has 84 divisors (see below), whose sum is σ = 3883475596. Its totient is φ = 442368000.

The previous prime is 1340983823. The next prime is 1340983873. The reversal of 1340983872 is 2783890431.

It can be written as a sum of positive squares in 2 ways, for example, as 478034496 + 862949376 = 21864^2 + 29376^2 .

It is a super-2 number, since 2×13409838722 = 3596475489928224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340983873) 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, 43872 + ... + 67872.

Almost surely, 21340983872 is an apocalyptic number.

1340983872 is a gapful number since it is divisible by the number (12) 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 1340983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941737798).

1340983872 is an abundant number, since it is smaller than the sum of its proper divisors (2542491724).

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

1340983872 is a wasteful number, since it uses less digits than its factorization.

1340983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24116 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1340983872 is about 36619.4466369988. The cubic root of 1340983872 is about 1102.7435295866.

The spelling of 1340983872 in words is "one billion, three hundred forty million, nine hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 24001 27936 48002 55872 72003 96004 144006 192008 216009 288012 384016 432018 576024 768032 864036 1152048 1536064 1728072 2304096 2328097 3456144 4608192 4656194 6912288 6984291 9312388 13824576 13968582 18624776 20952873 27937164 37249552 41905746 55874328 74499104 83811492 111748656 148998208 167622984 223497312 335245968 446994624 670491936 1340983872