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2149434378 = 2327134330517
BaseRepresentation
bin1000000000011101…
…1100010000001010
312112210112120122200
42000013130100022
513400223400003
6553141501030
7104156614350
oct20007342012
95483476580
102149434378
11a03332953
124bba11776
13283408980
141656777d0
15c8a7e6a3
hex801dc40a

2149434378 has 96 divisors (see below), whose sum is σ = 5865315456. Its totient is φ = 553682304.

The previous prime is 2149434361. The next prime is 2149434379. The reversal of 2149434378 is 8734349412.

2149434378 is a `hidden beast` number, since 2 + 149 + 434 + 3 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (2149434379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55176 + ... + 85692.

It is an arithmetic number, because the mean of its divisors is an integer number (61097036).

Almost surely, 22149434378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149434378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932657728).

2149434378 is an abundant number, since it is smaller than the sum of its proper divisors (3715881078).

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

2149434378 is a wasteful number, since it uses less digits than its factorization.

2149434378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588 (or 30585 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2149434378 is about 46361.9928173930. The cubic root of 2149434378 is about 1290.5496882170.

The spelling of 2149434378 in words is "two billion, one hundred forty-nine million, four hundred thirty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 387 546 559 602 774 819 903 1118 1638 1677 1806 2709 3354 3913 5031 5418 7826 10062 11739 23478 30517 35217 61034 70434 91551 183102 213619 274653 396721 427238 549306 640857 793442 1190163 1281714 1312231 1922571 2380326 2624462 2777047 3570489 3845142 3936693 5554094 7140978 7873386 8331141 9185617 11810079 16662282 17059003 18371234 23620158 24993423 27556851 34118006 49986846 51177009 55113702 82670553 102354018 119413021 153531027 165341106 238826042 307062054 358239063 716478126 1074717189 2149434378