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328213440 = 26325113963
BaseRepresentation
bin10011100100000…
…010001111000000
3211212120222012100
4103210002033000
51133010312230
652322430400
711063524332
oct2344021700
9755528170
10328213440
111592a4685
1291b02400
1352cc8849
1431839452
151dc33660
hex139023c0

328213440 has 84 divisors (see below), whose sum is σ = 1128927384. Its totient is φ = 87522816.

The previous prime is 328213433. The next prime is 328213447. The reversal of 328213440 is 44312823.

328213440 is a `hidden beast` number, since 3 + 2 + 8 + 213 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (328213433) and next prime (328213447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328213447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54102 + ... + 59861.

Almost surely, 2328213440 is an apocalyptic number.

328213440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328213440 is an abundant number, since it is smaller than the sum of its proper divisors (800713944).

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

328213440 is a wasteful number, since it uses less digits than its factorization.

328213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113986 (or 113973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 328213440 is about 18116.6619441883. The cubic root of 328213440 is about 689.7930065932.

The spelling of 328213440 in words is "three hundred twenty-eight million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 113963 227926 341889 455852 569815 683778 911704 1025667 1139630 1367556 1709445 1823408 2051334 2279260 2735112 3418890 3646816 4102668 4558520 5128335 5470224 6837780 7293632 8205336 9117040 10256670 10940448 13675560 16410672 18234080 20513340 21880896 27351120 32821344 36468160 41026680 54702240 65642688 82053360 109404480 164106720 328213440