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2141420346 = 2321319481651
BaseRepresentation
bin111111110100011…
…0111101100111010
312112020110102110200
41333220313230322
513341200422341
6552254023030
7104031526002
oct17750675472
95466412420
102141420346
119a985988a
124b91a7a76
13281861040
1416458d002
15c7ee9db6
hex7fa37b3a

2141420346 has 48 divisors (see below), whose sum is σ = 5259639840. Its totient is φ = 624218400.

The previous prime is 2141420341. The next prime is 2141420357. The reversal of 2141420346 is 6430241412.

It is a happy number.

2141420346 is a `hidden beast` number, since 2 + 1 + 414 + 203 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (2141420341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236380 + ... + 245271.

It is an arithmetic number, because the mean of its divisors is an integer number (109575830).

Almost surely, 22141420346 is an apocalyptic number.

2141420346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2141420346 is an abundant number, since it is smaller than the sum of its proper divisors (3118219494).

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

2141420346 is a wasteful number, since it uses less digits than its factorization.

2141420346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481691 (or 481688 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2141420346 is about 46275.4832065533. The cubic root of 2141420346 is about 1288.9437793800.

Adding to 2141420346 its reverse (6430241412), we get a palindrome (8571661758).

The spelling of 2141420346 in words is "two billion, one hundred forty-one million, four hundred twenty thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 481651 963302 1444953 2889906 4334859 6261463 8669718 9151369 12522926 18302738 18784389 27454107 37568778 54908214 56353167 82362321 112706334 118967797 164724642 237935594 356903391 713806782 1070710173 2141420346