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321340240 = 245132511231
BaseRepresentation
bin10011001001110…
…100001101010000
3211101122202221101
4103021310031100
51124230341430
651515234144
710651230004
oct2311641520
9741582841
10321340240
1115542a751
128b748954
1351760270
143096a704
151d326dca
hex13274350

321340240 has 80 divisors (see below), whose sum is σ = 808448256. Its totient is φ = 118080000.

The previous prime is 321340223. The next prime is 321340259. The reversal of 321340240 is 42043123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260425 + ... + 261655.

Almost surely, 2321340240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404224128).

321340240 is an abundant number, since it is smaller than the sum of its proper divisors (487108016).

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

321340240 is a wasteful number, since it uses less digits than its factorization.

321340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 321340240 is about 17925.9655249027. The cubic root of 321340240 is about 684.9439562013.

Adding to 321340240 its reverse (42043123), we get a palindrome (363383363).

The spelling of 321340240 in words is "three hundred twenty-one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 251 260 502 520 1004 1040 1231 1255 2008 2462 2510 3263 4016 4924 5020 6155 6526 9848 10040 12310 13052 16003 16315 19696 20080 24620 26104 32006 32630 49240 52208 64012 65260 80015 98480 128024 130520 160030 256048 261040 308981 320060 617962 640120 1235924 1280240 1544905 2471848 3089810 4016753 4943696 6179620 8033506 12359240 16067012 20083765 24718480 32134024 40167530 64268048 80335060 160670120 321340240