Search a number
-
+
325020432 = 2431137127131
BaseRepresentation
bin10011010111110…
…110101100010000
3211122120202012210
4103113312230100
51131201123212
652130152120
711024425302
oct2327665420
9748522183
10325020432
11157513730
1290a22640
135244b3a9
1431247972
151d80253c
hex135f6b10

325020432 has 160 divisors (see below), whose sum is σ = 955367424. Its totient is φ = 94348800.

The previous prime is 325020427. The next prime is 325020481. The reversal of 325020432 is 234020523.

It is a junction number, because it is equal to n+sod(n) for n = 325020399 and 325020408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2481007 + ... + 2481137.

Almost surely, 2325020432 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 325020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477683712).

325020432 is an abundant number, since it is smaller than the sum of its proper divisors (630346992).

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

325020432 is a wasteful number, since it uses less digits than its factorization.

325020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 325020432 is about 18028.3230501342. The cubic root of 325020432 is about 687.5488411362.

Adding to 325020432 its reverse (234020523), we get a palindrome (559040955).

Subtracting from 325020432 its reverse (234020523), we obtain a palindrome (90999909).

The spelling of 325020432 in words is "three hundred twenty-five million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 127 131 132 148 176 222 254 262 264 296 381 393 407 444 508 524 528 592 762 786 814 888 1016 1048 1221 1397 1441 1524 1572 1628 1776 2032 2096 2442 2794 2882 3048 3144 3256 4191 4323 4699 4847 4884 5588 5764 6096 6288 6512 8382 8646 9398 9694 9768 11176 11528 14097 14541 16637 16764 17292 18796 19388 19536 22352 23056 28194 29082 33274 33528 34584 37592 38776 49911 51689 53317 56388 58164 66548 67056 69168 75184 77552 99822 103378 106634 112776 116328 133096 155067 159951 183007 199644 206756 213268 225552 232656 266192 310134 319902 366014 399288 413512 426536 549021 615569 620268 639804 732028 798576 827024 853072 1098042 1231138 1240536 1279608 1464056 1846707 2196084 2462276 2481072 2559216 2928112 3693414 4392168 4924552 6771259 7386828 8784336 9849104 13542518 14773656 20313777 27085036 29547312 40627554 54170072 81255108 108340144 162510216 325020432