Search a number
-
+
312138036 = 22347219661
BaseRepresentation
bin10010100110101…
…101100100110100
3210202100020220000
4102212231210310
51114401404121
650550111300
710510062300
oct2246554464
9722306800
10312138036
11150214a21
128864b530
134c88a882
142d652d00
151c60a526
hex129ad934

312138036 has 90 divisors (see below), whose sum is σ = 949261698. Its totient is φ = 89177760.

The previous prime is 312138019. The next prime is 312138053. The reversal of 312138036 is 630831213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312138019) and next prime (312138053).

It can be written as a sum of positive squares in only one way, i.e., 272448036 + 39690000 = 16506^2 + 6300^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6046 + ... + 25706.

Almost surely, 2312138036 is an apocalyptic number.

312138036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312138036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474630849).

312138036 is an abundant number, since it is smaller than the sum of its proper divisors (637123662).

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

312138036 is a wasteful number, since it uses less digits than its factorization.

312138036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19691 (or 19673 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312138036 is about 17667.4286753902. The cubic root of 312138036 is about 678.3422972023.

Adding to 312138036 its reverse (630831213), we get a palindrome (942969249).

The spelling of 312138036 in words is "three hundred twelve million, one hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 19661 39322 58983 78644 117966 137627 176949 235932 275254 353898 412881 530847 550508 707796 825762 963389 1061694 1238643 1592541 1651524 1926778 2123388 2477286 2890167 3185082 3715929 3853556 4954572 5780334 6370164 7431858 8670501 11147787 11560668 14863716 17341002 22295574 26011503 34682004 44591148 52023006 78034509 104046012 156069018 312138036