Search a number
-
+
3213034242 = 2311216726501
BaseRepresentation
bin1011111110000011…
…0000001100000010
322021220220001101020
42333200300030002
523040014043432
61250454250310
7142423224525
oct27740601402
98256801336
103213034242
1113a9746200
12758056996
133c28834c2
14226a1cbbc
1513c12522c
hexbf830302

3213034242 has 48 divisors (see below), whose sum is σ = 7105928256. Its totient is φ = 967780000.

The previous prime is 3213034241. The next prime is 3213034247. The reversal of 3213034242 is 2424303123.

It is not an unprimeable number, because it can be changed into a prime (3213034241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107992 + ... + 134492.

It is an arithmetic number, because the mean of its divisors is an integer number (148040172).

Almost surely, 23213034242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213034242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552964128).

3213034242 is an abundant number, since it is smaller than the sum of its proper divisors (3892894014).

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

3213034242 is a wasteful number, since it uses less digits than its factorization.

3213034242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26695 (or 26684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3213034242 is about 56683.6329287388. The cubic root of 3213034242 is about 1475.6106623234.

Adding to 3213034242 its reverse (2424303123), we get a palindrome (5637337365).

The spelling of 3213034242 in words is "three billion, two hundred thirteen million, thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 501 726 1002 1837 3674 5511 11022 20207 26501 40414 53002 60621 79503 121242 159006 291511 583022 874533 1749066 3206621 4425667 6413242 8851334 9619863 13277001 19239726 26554002 48682337 97364674 146047011 292094022 535505707 1071011414 1606517121 3213034242