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2729343840 = 25355686133
BaseRepresentation
bin1010001010101110…
…0111101101100000
321001012202000212220
42202223213231200
521042203000330
61130455151040
7124431016446
oct24253475540
97035660786
102729343840
111180709473
12642075480
133465bbb72
141bc6b0b96
1510e92e710
hexa2ae7b60

2729343840 has 48 divisors (see below), whose sum is σ = 8597434608. Its totient is φ = 727824896.

The previous prime is 2729343839. The next prime is 2729343847. The reversal of 2729343840 is 483439272.

2729343840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2729343792 and 2729343801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729343847) 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, 2842587 + ... + 2843546.

It is an arithmetic number, because the mean of its divisors is an integer number (179113221).

Almost surely, 22729343840 is an apocalyptic number.

2729343840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2729343840 is an abundant number, since it is smaller than the sum of its proper divisors (5868090768).

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

2729343840 is a wasteful number, since it uses less digits than its factorization.

2729343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686151 (or 5686143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2729343840 is about 52243.1224181710. The cubic root of 2729343840 is about 1397.5030048696.

The spelling of 2729343840 in words is "two billion, seven hundred twenty-nine million, three hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5686133 11372266 17058399 22744532 28430665 34116798 45489064 56861330 68233596 85291995 90978128 113722660 136467192 170583990 181956256 227445320 272934384 341167980 454890640 545868768 682335960 909781280 1364671920 2729343840