Search a number
-
+
145412344 = 23711594001
BaseRepresentation
bin10001010101011…
…01000011111000
3101010121201020101
420222231003320
5244211143334
622232405144
73413661460
oct1052550370
9333551211
10145412344
11750994a0
12408467b4
1324183a0c
1415452ba0
15cb75214
hex8aad0f8

145412344 has 64 divisors (see below), whose sum is σ = 345772800. Its totient is φ = 55680000.

The previous prime is 145412329. The next prime is 145412357. The reversal of 145412344 is 443214541.

It is a super-2 number, since 2×1454123442 = 42289499575148672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34344 + ... + 38344.

It is an arithmetic number, because the mean of its divisors is an integer number (5402700).

Almost surely, 2145412344 is an apocalyptic number.

145412344 is a gapful number since it is divisible by the number (14) 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 145412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172886400).

145412344 is an abundant number, since it is smaller than the sum of its proper divisors (200360456).

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

145412344 is a wasteful number, since it uses less digits than its factorization.

145412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4080 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 145412344 is about 12058.7040763094. The cubic root of 145412344 is about 525.8563125864.

Adding to 145412344 its reverse (443214541), we get a palindrome (588626885).

The spelling of 145412344 in words is "one hundred forty-five million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 649 826 1298 1652 2596 3304 4001 4543 5192 8002 9086 16004 18172 28007 32008 36344 44011 56014 88022 112028 176044 224056 236059 308077 352088 472118 616154 944236 1232308 1652413 1888472 2464616 2596649 3304826 5193298 6609652 10386596 13219304 18176543 20773192 36353086 72706172 145412344