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3421213092 = 22331116972
BaseRepresentation
bin1100101111101011…
…1001000110100100
322211102121122002000
43023322321012210
524001312304332
61323252245300
7150531555123
oct31372710644
98742548060
103421213092
1114a6205040
127b5910830
13426a4245b
1424652daba
15150547b7c
hexcbeb91a4

3421213092 has 72 divisors (see below), whose sum is σ = 9681863520. Its totient is φ = 1036120320.

The previous prime is 3421213087. The next prime is 3421213099. The reversal of 3421213092 is 2903121243.

It is a happy number.

3421213092 is a `hidden beast` number, since 342 + 12 + 1 + 309 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3421213099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2015188 + ... + 2016884.

Almost surely, 23421213092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421213092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840931760).

3421213092 is an abundant number, since it is smaller than the sum of its proper divisors (6260650428).

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

3421213092 is a wasteful number, since it uses less digits than its factorization.

3421213092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3421213092 is about 58491.1368670502. The cubic root of 3421213092 is about 1506.8153709137.

The spelling of 3421213092 in words is "three billion, four hundred twenty-one million, two hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1697 3394 5091 6788 10182 15273 18667 20364 30546 37334 45819 56001 61092 74668 91638 112002 168003 183276 224004 336006 504009 672012 1008018 2016036 2879809 5759618 8639427 11519236 17278854 25918281 31677899 34557708 51836562 63355798 77754843 95033697 103673124 126711596 155509686 190067394 285101091 311019372 380134788 570202182 855303273 1140404364 1710606546 3421213092