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32300020320 = 2535461145969
BaseRepresentation
bin11110000101001110…
…110011001001100000
310002101001012001002220
4132011032303021200
51012122301122240
622501033311040
72222265433311
oct360516631140
9102331161086
1032300020320
1112775579377
126315265480
133079a46579
1417c5ac0608
15c90a015d0
hex7853b3260

32300020320 has 96 divisors (see below), whose sum is σ = 101966467680. Its totient is φ = 8594595840.

The previous prime is 32300020303. The next prime is 32300020327. The reversal of 32300020320 is 2302000323.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32300020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32300020327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148296 + ... + 294264.

It is an arithmetic number, because the mean of its divisors is an integer number (1062150705).

Almost surely, 232300020320 is an apocalyptic number.

32300020320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32300020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50983233840).

32300020320 is an abundant number, since it is smaller than the sum of its proper divisors (69666447360).

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

32300020320 is a wasteful number, since it uses less digits than its factorization.

32300020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146448 (or 146440 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 32300020320 its reverse (2302000323), we get a palindrome (34602020643).

The spelling of 32300020320 in words is "thirty-two billion, three hundred million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 461 480 922 1383 1844 2305 2766 3688 4610 5532 6915 7376 9220 11064 13830 14752 18440 22128 27660 36880 44256 55320 73760 110640 145969 221280 291938 437907 583876 729845 875814 1167752 1459690 1751628 2189535 2335504 2919380 3503256 4379070 4671008 5838760 7006512 8758140 11677520 14013024 17516280 23355040 35032560 67291709 70065120 134583418 201875127 269166836 336458545 403750254 538333672 672917090 807500508 1009375635 1076667344 1345834180 1615001016 2018751270 2153334688 2691668360 3230002032 4037502540 5383336720 6460004064 8075005080 10766673440 16150010160 32300020320