Search a number
-
+
3214002414 = 237214973369
BaseRepresentation
bin1011111110010001…
…1100100011101110
322021222201020110110
42333210130203232
523040241034124
61250531120450
7142434366300
oct27744344356
98258636413
103214002414
1113aa247647
12758443126
133c2b3209c
14226bd1970
1513c267029
hexbf91c8ee

3214002414 has 48 divisors (see below), whose sum is σ = 7527762000. Its totient is φ = 912110976.

The previous prime is 3214002409. The next prime is 3214002419. The reversal of 3214002414 is 4142004123.

It is an interprime number because it is at equal distance from previous prime (3214002409) and next prime (3214002419).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214002419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7122 + ... + 80490.

It is an arithmetic number, because the mean of its divisors is an integer number (156828375).

Almost surely, 23214002414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214002414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763881000).

3214002414 is an abundant number, since it is smaller than the sum of its proper divisors (4313759586).

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

3214002414 is a wasteful number, since it uses less digits than its factorization.

3214002414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73537 (or 73530 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3214002414 is about 56692.1724226546. The cubic root of 3214002414 is about 1475.7588609156.

Adding to 3214002414 its reverse (4142004123), we get a palindrome (7356006537).

The spelling of 3214002414 in words is "three billion, two hundred fourteen million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 447 894 1043 2086 3129 6258 7301 14602 21903 43806 73369 146738 220107 440214 513583 1027166 1540749 3081498 3595081 7190162 10785243 10931981 21570486 21863962 32795943 65591886 76523867 153047734 229571601 459143202 535667069 1071334138 1607001207 3214002414