Search a number
-
+
3214110144 = 26372391451
BaseRepresentation
bin1011111110010011…
…0110110111000000
322021222220201020110
42333210312313000
523040303011034
61250533311320
7142435325340
oct27744666700
98258821213
103214110144
1113aa310583
12758495540
133c2b6c12b
14226c1cd20
1513c288de9
hexbf936dc0

3214110144 has 56 divisors (see below), whose sum is σ = 9718860928. Its totient is φ = 918316800.

The previous prime is 3214110139. The next prime is 3214110149. The reversal of 3214110144 is 4410114123.

It is an interprime number because it is at equal distance from previous prime (3214110139) and next prime (3214110149).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3214110144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214110149) 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, 1194382 + ... + 1197069.

It is an arithmetic number, because the mean of its divisors is an integer number (173551088).

Almost surely, 23214110144 is an apocalyptic number.

It is an amenable number.

3214110144 is an abundant number, since it is smaller than the sum of its proper divisors (6504750784).

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

3214110144 is a wasteful number, since it uses less digits than its factorization.

3214110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391473 (or 2391463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3214110144 is about 56693.1225458609. The cubic root of 3214110144 is about 1475.7753493627.

Adding to 3214110144 its reverse (4410114123), we get a palindrome (7624224267).

The spelling of 3214110144 in words is "three billion, two hundred fourteen million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2391451 4782902 7174353 9565804 14348706 16740157 19131608 28697412 33480314 38263216 50220471 57394824 66960628 76526432 100440942 114789648 133921256 153052864 200881884 229579296 267842512 401763768 459158592 535685024 803527536 1071370048 1607055072 3214110144