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5340432 = 243313797
BaseRepresentation
bin10100010111110100010000
3101001022200210
4110113310100
52331343212
6310244120
763251526
oct24276420
911038623
105340432
113018389
121956640
13114ca26
149d0316
1570753c
hex517d10

5340432 has 80 divisors (see below), whose sum is σ = 14776832. Its totient is φ = 1658880.

The previous prime is 5340427. The next prime is 5340443. The reversal of 5340432 is 2340435.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5340399 and 5340408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55008 + ... + 55104.

Almost surely, 25340432 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 5340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388416).

5340432 is an abundant number, since it is smaller than the sum of its proper divisors (9436400).

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

5340432 is a wasteful number, since it uses less digits than its factorization.

5340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5340432 is about 2310.9374721095. The cubic root of 5340432 is about 174.7935742881.

Adding to 5340432 its reverse (2340435), we get a palindrome (7680867).

The spelling of 5340432 in words is "five million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 97 111 124 148 186 194 222 248 291 296 372 388 444 496 582 592 744 776 888 1147 1164 1488 1552 1776 2294 2328 3007 3441 3589 4588 4656 6014 6882 7178 9021 9176 10767 12028 13764 14356 18042 18352 21534 24056 27528 28712 36084 43068 48112 55056 57424 72168 86136 111259 144336 172272 222518 333777 445036 667554 890072 1335108 1780144 2670216 5340432