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320012342320 = 24511503722963
BaseRepresentation
bin1001010100000100011…
…10001101010000110000
31010121000012200100110211
410222002032031100300
520220341124423240
6403002303033504
732056130012566
oct4520216152060
91117005610424
10320012342320
11113797696290
125202b59b894
132423bc38298
14116bad1ba36
1584ce566bea
hex4a8238d430

320012342320 has 80 divisors (see below), whose sum is σ = 813282446592. Its totient is φ = 116136615680.

The previous prime is 320012342311. The next prime is 320012342381. The reversal of 320012342320 is 23243210023.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 320012342291 and 320012342300.

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, 81159 + ... + 804121.

Almost surely, 2320012342320 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 320012342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406641223296).

320012342320 is an abundant number, since it is smaller than the sum of its proper divisors (493270104272).

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

320012342320 is a wasteful number, since it uses less digits than its factorization.

320012342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723490 (or 723484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 320012342320 its reverse (23243210023), we get a palindrome (343255552343).

The spelling of 320012342320 in words is "three hundred twenty billion, twelve million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 503 880 1006 2012 2515 4024 5030 5533 8048 10060 11066 20120 22132 27665 40240 44264 55330 88528 110660 221320 442640 722963 1445926 2891852 3614815 5783704 7229630 7952593 11567408 14459260 15905186 28918520 31810372 39762965 57837040 63620744 79525930 127241488 159051860 318103720 363650389 636207440 727300778 1454601556 1818251945 2909203112 3636503890 4000154279 5818406224 7273007780 8000308558 14546015560 16000617116 20000771395 29092031120 32001234232 40001542790 64002468464 80003085580 160006171160 320012342320