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328338844704 = 2534139744149
BaseRepresentation
bin1001100011100101000…
…01010010110000100000
31011101111111110111110000
410301302201102300200
520334414221012304
6410500424540000
732502354063003
oct4616241226040
91141444414400
10328338844704
1111727a799812
1253774021600
1324c67cc8180
1411c6aad753a
15881a558939
hex4c72852c20

328338844704 has 120 divisors (see below), whose sum is σ = 1039915176300. Its totient is φ = 101027326464.

The previous prime is 328338844667. The next prime is 328338844727. The reversal of 328338844704 is 407448833823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 299624864400 + 28713980304 = 547380^2 + 169452^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4838379 + ... + 4905770.

Almost surely, 2328338844704 is an apocalyptic number.

It is an amenable number.

328338844704 is an abundant number, since it is smaller than the sum of its proper divisors (711576331596).

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

328338844704 is a wasteful number, since it uses less digits than its factorization.

328338844704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744184 (or 9744167 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 328338844704 in words is "three hundred twenty-eight billion, three hundred thirty-eight million, eight hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 9744149 19488298 29232447 38976596 58464894 77953192 87697341 116929788 126673937 155906384 175394682 233859576 253347874 263092023 311812768 350789364 380021811 467719152 506695748 526184046 701578728 760043622 789276069 935438304 1013391496 1052368092 1140065433 1403157456 1520087244 1578552138 2026782992 2104736184 2280130866 2806314912 3040174488 3157104276 3420196299 4053565984 4209472368 4560261732 6080348976 6314208552 6840392598 8418944736 9120523464 10260588897 12160697952 12628417104 13680785196 18241046928 20521177794 25256834208 27361570392 36482093856 41042355588 54723140784 82084711176 109446281568 164169422352 328338844704