Search a number
-
+
3014001342 = 2321122934723
BaseRepresentation
bin1011001110100110…
…0000001010111110
321210001101010120100
42303221200022332
522133041020332
61215024301530
7134455405632
oct26351401276
97701333510
103014001342
111307363900
127014718a6
13390577461
1420840cdc2
1512990c67c
hexb3a602be

3014001342 has 72 divisors (see below), whose sum is σ = 7203996072. Its totient is φ = 910023840.

The previous prime is 3014001337. The next prime is 3014001433. The reversal of 3014001342 is 2431004103.

3014001342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 635793 + ... + 640515.

It is an arithmetic number, because the mean of its divisors is an integer number (100055501).

Almost surely, 23014001342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014001342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601998036).

3014001342 is an abundant number, since it is smaller than the sum of its proper divisors (4189994730).

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

3014001342 is a wasteful number, since it uses less digits than its factorization.

3014001342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3014001342 is about 54899.9211474844. The cubic root of 3014001342 is about 1444.4898031599.

Adding to 3014001342 its reverse (2431004103), we get a palindrome (5445005445).

The spelling of 3014001342 in words is "three billion, fourteen million, one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 293 363 586 726 879 1089 1758 2178 2637 3223 4723 5274 6446 9446 9669 14169 19338 28338 29007 35453 42507 51953 58014 70906 85014 103906 106359 155859 212718 311718 319077 467577 571483 638154 935154 1142966 1383839 1714449 2767678 3428898 4151517 5143347 8303034 10286694 12454551 15222229 24909102 30444458 45666687 91333374 137000061 167444519 274000122 334889038 502333557 1004667114 1507000671 3014001342