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328523640 = 23351729473
BaseRepresentation
bin10011100101001…
…101111101111000
3211220011201201020
4103211031331320
51133100224030
652333222440
711066255604
oct2345157570
9756151636
10328523640
11159496745
1292031a20
13530a6ab3
14318ba504
151dc95510
hex1394df78

328523640 has 96 divisors (see below), whose sum is σ = 1047066480. Its totient is φ = 82444288.

The previous prime is 328523639. The next prime is 328523641. The reversal of 328523640 is 46325823.

It is a happy number.

328523640 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 (328523639) and next prime (328523641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328523641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29944 + ... + 39416.

Almost surely, 2328523640 is an apocalyptic number.

328523640 is a gapful number since it is divisible by the number (30) 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 328523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523533240).

328523640 is an abundant number, since it is smaller than the sum of its proper divisors (718542840).

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

328523640 is a wasteful number, since it uses less digits than its factorization.

328523640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 328523640 is about 18125.2211020997. The cubic root of 328523640 is about 690.0102497952.

The spelling of 328523640 in words is "three hundred twenty-eight million, five hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 9473 11560 17340 18946 28419 34680 37892 47365 56838 75784 94730 113676 142095 161041 189460 227352 284190 322082 378920 483123 568380 644164 805205 966246 1136760 1288328 1610410 1932492 2415615 2737697 3220820 3864984 4831230 5475394 6441640 8213091 9662460 10950788 13688485 16426182 19324920 21901576 27376970 32852364 41065455 54753940 65704728 82130910 109507880 164261820 328523640