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10328250384 = 24369412
BaseRepresentation
bin10011001111001110…
…01001100000010000
3222122210102111000000
421213213021200100
5132123013003014
64424510130000
7513641452104
oct114747114020
928583374000
1010328250384
114420034421
122002ab0900
13c879c9a7a
146dd9ab904
15406aec509
hex2679c9810

10328250384 has 105 divisors (see below), whose sum is σ = 30034670509. Its totient is φ = 3439091520.

The previous prime is 10328250307. The next prime is 10328250467. The reversal of 10328250384 is 48305282301.

The square root of 10328250384 is 101628.

It is a perfect power (a square), and thus also a powerful number.

10328250384 is a `hidden beast` number, since 1 + 0 + 3 + 28 + 250 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6404480784 + 3923769600 = 80028^2 + 62640^2 .

It is a super-2 number, since 2×103282503842 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10975354 + ... + 10976294.

Almost surely, 210328250384 is an apocalyptic number.

10328250384 is the 101628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10328250384

10328250384 is an abundant number, since it is smaller than the sum of its proper divisors (19706420125).

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

10328250384 is an frugal number, since it uses more digits than its factorization.

10328250384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 10328250384 by its sum of digits (36), we get a square (371817013824 = 6097682).

10328250384 divided by its sum of digits (36) gives a square (286895844 = 169382).

The spelling of 10328250384 in words is "ten billion, three hundred twenty-eight million, two hundred fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 941 972 1296 1458 1882 1944 2823 2916 3764 3888 5646 5832 7528 8469 11292 11664 15056 16938 22584 25407 33876 45168 50814 67752 76221 101628 135504 152442 203256 228663 304884 406512 457326 609768 685989 885481 914652 1219536 1371978 1770962 1829304 2656443 2743956 3541924 3658608 5312886 5487912 7083848 7969329 10625772 10975824 14167696 15938658 21251544 23907987 31877316 42503088 47815974 63754632 71723961 95631948 127509264 143447922 191263896 215171883 286895844 382527792 430343766 573791688 645515649 860687532 1147583376 1291031298 1721375064 2582062596 3442750128 5164125192 10328250384