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2325372 = 2237193147
BaseRepresentation
bin1000110111101101111100
311101010210220
420313231330
51043402442
6121501340
725523340
oct10675574
94333726
102325372
1113490a5
12941850
1363557a
14447620
1530deec
hex237b7c

2325372 has 96 divisors (see below), whose sum is σ = 6881280. Its totient is φ = 596160.

The previous prime is 2325361. The next prime is 2325377. The reversal of 2325372 is 2735232.

It is a super-3 number, since 3×23253723 = 37722335303339636544, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2 + 33 + 217 + 57 + 37 + 75 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49453 + ... + 49499.

It is an arithmetic number, because the mean of its divisors is an integer number (71680).

22325372 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 2325372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440640).

2325372 is an abundant number, since it is smaller than the sum of its proper divisors (4555908).

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

2325372 is a wasteful number, since it uses less digits than its factorization.

2325372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 2325372 is about 1524.9170469242. The cubic root of 2325372 is about 132.4842178901.

It can be divided in two parts, 2325 and 372, that multiplied together give a square (864900 = 9302).

The spelling of 2325372 in words is "two million, three hundred twenty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 47 57 62 76 84 93 94 114 124 133 141 186 188 217 228 266 282 329 372 399 434 532 564 589 651 658 798 868 893 987 1178 1302 1316 1457 1596 1767 1786 1974 2356 2604 2679 2914 3534 3572 3948 4123 4371 5358 5828 6251 7068 8246 8742 10199 10716 12369 12502 16492 17484 18753 20398 24738 25004 27683 30597 37506 40796 49476 55366 61194 75012 83049 110732 122388 166098 193781 332196 387562 581343 775124 1162686 2325372