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364108821340 = 225116743956269
BaseRepresentation
bin1010100110001101001…
…00111011001101011100
31021210211100222120202111
411103012210323031130
521431143324240330
6435134055403404
735206645626115
oct5230644731534
91253740876674
10364108821340
11130465a34680
125a697383564
13284488bc214
14138a159520c
1597109d032a
hex54c693b35c

364108821340 has 96 divisors (see below), whose sum is σ = 848533593600. Its totient is φ = 130127627520.

The previous prime is 364108821317. The next prime is 364108821341. The reversal of 364108821340 is 43128801463.

It is a junction number, because it is equal to n+sod(n) for n = 364108821293 and 364108821302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364108821341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6442726 + ... + 6498994.

It is an arithmetic number, because the mean of its divisors is an integer number (8838891600).

Almost surely, 2364108821340 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 364108821340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424266796800).

364108821340 is an abundant number, since it is smaller than the sum of its proper divisors (484424772260).

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

364108821340 is a wasteful number, since it uses less digits than its factorization.

364108821340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56795 (or 56793 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 364108821340 in words is "three hundred sixty-four billion, one hundred eight million, eight hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 439 670 737 878 1340 1474 1756 2195 2948 3685 4390 4829 7370 8780 9658 14740 19316 24145 29413 48290 56269 58826 96580 112538 117652 147065 225076 281345 294130 323543 562690 588260 618959 647086 1125380 1237918 1294172 1617715 2475836 3094795 3235430 3770023 6189590 6470860 7540046 12379180 15080092 18850115 24702091 37700230 41470253 49404182 75400460 82940506 98808364 123510455 165881012 207351265 247020910 271723001 414702530 494041820 543446002 829405060 1086892004 1358615005 1655040097 2717230010 3310080194 5434460020 6620160388 8275200485 16550400970 18205441067 33100801940 36410882134 72821764268 91027205335 182054410670 364108821340