Search a number
-
+
145410304 = 281323361
BaseRepresentation
bin10001010101011…
…00100100000000
3101010121121102211
420222230210000
5244211112204
622232351504
73413652514
oct1052544400
9333547384
10145410304
1175097a06
1240845594
1324182b00
1415452144
15cb74804
hex8aac900

145410304 has 54 divisors (see below), whose sum is σ = 314390706. Its totient is φ = 67092480.

The previous prime is 145410277. The next prime is 145410329. The reversal of 145410304 is 403014541.

It can be written as a sum of positive squares in 3 ways, for example, as 2560000 + 142850304 = 1600^2 + 11952^2 .

It is a super-2 number, since 2×1454103042 = 42288313018744832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41584 + ... + 44944.

Almost surely, 2145410304 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 145410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157195353).

145410304 is an abundant number, since it is smaller than the sum of its proper divisors (168980402).

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

145410304 is an equidigital number, since it uses as much as digits as its factorization.

145410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145410304 is about 12058.6194898089. The cubic root of 145410304 is about 525.8538534832.

Adding to 145410304 its reverse (403014541), we get a palindrome (548424845).

The spelling of 145410304 in words is "one hundred forty-five million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 3361 5408 6722 10816 13444 21632 26888 43264 43693 53776 87386 107552 174772 215104 349544 430208 568009 699088 860416 1136018 1398176 2272036 2796352 4544072 5592704 9088144 11185408 18176288 36352576 72705152 145410304