Search a number
-
+
132314304 = 2631993463
BaseRepresentation
bin1111110001011…
…11010011000000
3100012222021002210
413320233103000
5232333024204
621043542120
73164436663
oct770572300
9305867083
10132314304
1168762771
123838a940
1321548cb5
14138036da
15b939389
hex7e2f4c0

132314304 has 56 divisors (see below), whose sum is σ = 351942400. Its totient is φ = 43870464.

The previous prime is 132314291. The next prime is 132314317. The reversal of 132314304 is 403413231.

It is an interprime number because it is at equal distance from previous prime (132314291) and next prime (132314317).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36477 + ... + 39939.

Almost surely, 2132314304 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 132314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175971200).

132314304 is an abundant number, since it is smaller than the sum of its proper divisors (219628096).

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

132314304 is a wasteful number, since it uses less digits than its factorization.

132314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132314304 is about 11502.7954863155. The cubic root of 132314304 is about 509.5681388303.

Adding to 132314304 its reverse (403413231), we get a palindrome (535727535).

The spelling of 132314304 in words is "one hundred thirty-two million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 3184 3463 4776 6368 6926 9552 10389 12736 13852 19104 20778 27704 38208 41556 55408 83112 110816 166224 221632 332448 664896 689137 1378274 2067411 2756548 4134822 5513096 8269644 11026192 16539288 22052384 33078576 44104768 66157152 132314304