Search a number
-
+
145332432 = 24327243479
BaseRepresentation
bin10001010100110…
…01100011010000
3101010110122121200
420222121203100
5244201114212
622230551200
73413206500
oct1052314320
9333418550
10145332432
1175044453
1240808500
132415652b
1415431a00
15cb5b6dc
hex8a998d0

145332432 has 180 divisors, whose sum is σ = 485147520. Its totient is φ = 40473216.

The previous prime is 145332409. The next prime is 145332443. The reversal of 145332432 is 234233541.

It is a super-2 number, since 2×1453324322 = 42243031582069248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145332396 and 145332405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303169 + ... + 303647.

It is an arithmetic number, because the mean of its divisors is an integer number (2695264).

Almost surely, 2145332432 is an apocalyptic number.

145332432 is a gapful number since it is divisible by the number (12) 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 145332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242573760).

145332432 is an abundant number, since it is smaller than the sum of its proper divisors (339815088).

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

145332432 is a wasteful number, since it uses less digits than its factorization.

145332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 145332432 is about 12055.3901637400. The cubic root of 145332432 is about 525.7599660437.

Adding to 145332432 its reverse (234233541), we get a palindrome (379565973).

The spelling of 145332432 in words is "one hundred forty-five million, three hundred thirty-two thousand, four hundred thirty-two".