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3123330252 = 2237149257971
BaseRepresentation
bin1011101000101010…
…0011110011001100
322001200002121122020
42322022203303030
522344033032002
61233531450140
7140253604050
oct27212436314
98050077566
103123330252
111363047279
12731bb6950
133aa106213
14218b4bc60
151343062bc
hexba2a3ccc

3123330252 has 96 divisors (see below), whose sum is σ = 8426073600. Its totient is φ = 882032640.

The previous prime is 3123330229. The next prime is 3123330263. The reversal of 3123330252 is 2520333213.

3123330252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3216127 + ... + 3217097.

It is an arithmetic number, because the mean of its divisors is an integer number (87771600).

Almost surely, 23123330252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123330252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213036800).

3123330252 is an abundant number, since it is smaller than the sum of its proper divisors (5302743348).

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

3123330252 is a wasteful number, since it uses less digits than its factorization.

3123330252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3123330252 is about 55886.7627618562. The cubic root of 3123330252 is about 1461.7484295005.

Adding to 3123330252 its reverse (2520333213), we get a palindrome (5643663465).

The spelling of 3123330252 in words is "three billion, one hundred twenty-three million, three hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 257 298 447 514 596 771 894 971 1028 1043 1542 1788 1799 1942 2086 2913 3084 3129 3598 3884 4172 5397 5826 6258 6797 7196 10794 11652 12516 13594 20391 21588 27188 38293 40782 76586 81564 114879 144679 153172 229758 249547 268051 289358 434037 459516 499094 536102 578716 748641 804153 868074 998188 1012753 1072204 1497282 1608306 1736148 1746829 2025506 2994564 3038259 3216612 3493658 4051012 5240487 6076518 6987316 10480974 12153036 20961948 37182503 74365006 111547509 148730012 223095018 260277521 446190036 520555042 780832563 1041110084 1561665126 3123330252