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3235430368 = 253747531097
BaseRepresentation
bin1100000011011000…
…1011111111100000
322100111000220002101
43000312023333200
523111232232433
61253014300144
7143114463412
oct30066137740
98314026071
103235430368
1114103527a5
12763657654
133c73c5451
142299ac9b2
1513e09b07d
hexc0d8bfe0

3235430368 has 96 divisors (see below), whose sum is σ = 6813362304. Its totient is φ = 1510060032.

The previous prime is 3235430357. The next prime is 3235430383. The reversal of 3235430368 is 8630345323.

3235430368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 2948796 + ... + 2949892.

It is an arithmetic number, because the mean of its divisors is an integer number (70972524).

Almost surely, 23235430368 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 3235430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406681152).

3235430368 is an abundant number, since it is smaller than the sum of its proper divisors (3577931936).

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

3235430368 is a wasteful number, since it uses less digits than its factorization.

3235430368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The square root of 3235430368 is about 56880.8435943069. The cubic root of 3235430368 is about 1479.0312579348.

The spelling of 3235430368 in words is "three billion, two hundred thirty-five million, four hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 47 53 74 94 106 148 188 212 296 376 424 592 752 848 1097 1184 1504 1696 1739 1961 2194 2491 3478 3922 4388 4982 6956 7844 8776 9964 13912 15688 17552 19928 27824 31376 35104 39856 40589 51559 55648 58141 62752 79712 81178 92167 103118 116282 162356 184334 206236 232564 324712 368668 412472 465128 649424 737336 824944 930256 1298848 1474672 1649888 1860512 1907683 2151217 2732627 2949344 3815366 4302434 5465254 7630732 8604868 10930508 15261464 17209736 21861016 30522928 34419472 43722032 61045856 68838944 87444064 101107199 202214398 404428796 808857592 1617715184 3235430368