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146413312 = 282392393
BaseRepresentation
bin10001011101000…
…01011100000000
3101012111120022021
420232201130000
5244440211222
622310051224
73425330653
oct1056413400
9335446267
10146413312
1175712541
1241049b14
13244444c6
141563389a
15ccc1ac7
hex8ba1700

146413312 has 36 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 72869888.

The previous prime is 146413303. The next prime is 146413339. The reversal of 146413312 is 213314641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59988 + ... + 62380.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2146413312 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 146413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

146413312 is an abundant number, since it is smaller than the sum of its proper divisors (147186848).

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

146413312 is an equidigital number, since it uses as much as digits as its factorization.

146413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2634 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 146413312 is about 12100.1368587302. The cubic root of 146413312 is about 527.0601584975.

Adding to 146413312 its reverse (213314641), we get a palindrome (359727953).

The spelling of 146413312 in words is "one hundred forty-six million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 956 1912 2393 3824 4786 7648 9572 15296 19144 30592 38288 61184 76576 153152 306304 571927 612608 1143854 2287708 4575416 9150832 18301664 36603328 73206656 146413312