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325087416 = 233219713347
BaseRepresentation
bin10011011000000…
…111000010111000
3211122201011002200
4103120013002320
51131210244131
652131430200
711025124503
oct2330070270
9748634080
10325087416
11157559a95
1290a55360
1352472a24
143126413a
151d8172e6
hex136070b8

325087416 has 96 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 101183040.

The previous prime is 325087409. The next prime is 325087423. The reversal of 325087416 is 614780523.

325087416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (325087409) and next prime (325087423).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95455 + ... + 98801.

It is an arithmetic number, because the mean of its divisors is an integer number (9792900).

Almost surely, 2325087416 is an apocalyptic number.

325087416 is a gapful number since it is divisible by the number (36) 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 325087416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

325087416 is an abundant number, since it is smaller than the sum of its proper divisors (615030984).

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

325087416 is a wasteful number, since it uses less digits than its factorization.

325087416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 325087416 is about 18030.1806979298. The cubic root of 325087416 is about 687.5960705856.

The spelling of 325087416 in words is "three hundred twenty-five million, eighty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 71 72 76 114 142 152 171 213 228 284 342 426 456 568 639 684 852 1278 1349 1368 1704 2556 2698 3347 4047 5112 5396 6694 8094 10041 10792 12141 13388 16188 20082 24282 26776 30123 32376 40164 48564 60246 63593 80328 97128 120492 127186 190779 237637 240984 254372 381558 475274 508744 572337 712911 763116 950548 1144674 1425822 1526232 1901096 2138733 2289348 2851644 4277466 4515103 4578696 5703288 8554932 9030206 13545309 17109864 18060412 27090618 36120824 40635927 54181236 81271854 108362472 162543708 325087416