Search a number
-
+
3214004430 = 2357131177291
BaseRepresentation
bin1011111110010001…
…1101000011001110
322021222201100020010
42333210131003032
523040241120210
61250531134050
7142434405210
oct27744350316
98258640203
103214004430
1113aa24910a
12758444326
133c2b32c90
14226bd25b0
1513c267920
hexbf91d0ce

3214004430 has 64 divisors (see below), whose sum is σ = 9493682688. Its totient is φ = 678119040.

The previous prime is 3214004407. The next prime is 3214004441. The reversal of 3214004430 is 344004123.

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

It is a junction number, because it is equal to n+sod(n) for n = 3214004397 and 3214004406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585916 + ... + 591375.

It is an arithmetic number, because the mean of its divisors is an integer number (148338792).

Almost surely, 23214004430 is an apocalyptic number.

3214004430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3214004430 is an abundant number, since it is smaller than the sum of its proper divisors (6279678258).

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

3214004430 is a wasteful number, since it uses less digits than its factorization.

3214004430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177321.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3214004430 is about 56692.1902028842. The cubic root of 3214004430 is about 1475.7591694748.

Adding to 3214004430 its reverse (344004123), we get a palindrome (3558008553).

The spelling of 3214004430 in words is "three billion, two hundred fourteen million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 1177291 2354582 3531873 5886455 7063746 8241037 11772910 15304783 16482074 17659365 24723111 30609566 35318730 41205185 45914349 49446222 76523915 82410370 91828698 107133481 123615555 153047830 214266962 229571745 247231110 321400443 459143490 535667405 642800886 1071334810 1607002215 3214004430