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3012300032 = 2877323027
BaseRepresentation
bin1011001110001100…
…0000110100000000
321202221011200210212
42303203000310000
522132122100112
61214524013252
7134435061560
oct26343006400
97687150725
103012300032
111306401665
12700991228
133900ccc71
142080c8da0
151296c3522
hexb38c0d00

3012300032 has 72 divisors (see below), whose sum is σ = 6966246336. Its totient is φ = 1273245696.

The previous prime is 3012300019. The next prime is 3012300073. The reversal of 3012300032 is 2300032103.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119303 + ... + 142329.

Almost surely, 23012300032 is an apocalyptic number.

3012300032 is a gapful number since it is divisible by the number (32) 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 3012300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483123168).

3012300032 is an abundant number, since it is smaller than the sum of its proper divisors (3953946304).

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

3012300032 is an equidigital number, since it uses as much as digits as its factorization.

3012300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23123 (or 23109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3012300032 is about 54884.4243114565. The cubic root of 3012300032 is about 1444.2179621517.

Adding to 3012300032 its reverse (2300032103), we get a palindrome (5312332135).

The spelling of 3012300032 in words is "three billion, twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 584 896 1022 1168 1792 2044 2336 4088 4672 8176 9344 16352 18688 23027 32704 46054 65408 92108 130816 161189 184216 322378 368432 644756 736864 1289512 1473728 1680971 2579024 2947456 3361942 5158048 5894912 6723884 10316096 11766797 13447768 20632192 23533594 26895536 41264384 47067188 53791072 94134376 107582144 188268752 215164288 376537504 430328576 753075008 1506150016 3012300032