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325142440 = 23572198731
BaseRepresentation
bin10011011000010…
…100011110101000
3211122210221120121
4103120110132220
51131214024230
652132533024
711025444100
oct2330243650
9748727517
10325142440
11157597367
1290a81174
1352491a9c
143127a200
151d82877a
hex136147a8

325142440 has 96 divisors (see below), whose sum is σ = 895903200. Its totient is φ = 105598080.

The previous prime is 325142407. The next prime is 325142453. The reversal of 325142440 is 44241523.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 32875 + ... + 41605.

It is an arithmetic number, because the mean of its divisors is an integer number (9332325).

Almost surely, 2325142440 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 325142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447951600).

325142440 is an abundant number, since it is smaller than the sum of its proper divisors (570760760).

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

325142440 is a wasteful number, since it uses less digits than its factorization.

325142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 325142440 is about 18031.7065193509. The cubic root of 325142440 is about 687.6348623586.

Adding to 325142440 its reverse (44241523), we get a palindrome (369383963).

The spelling of 325142440 in words is "three hundred twenty-five million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 7448 8731 9310 17462 18620 34924 37240 43655 61117 69848 87310 122234 165889 174620 244468 305585 331778 349240 427819 488936 611170 663556 829445 855638 1161223 1222340 1327112 1658890 1711276 2139095 2322446 2444680 3317780 3422552 4278190 4644892 5806115 6635560 8128561 8556380 9289784 11612230 16257122 17112760 23224460 32514244 40642805 46448920 65028488 81285610 162571220 325142440