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3023240032 = 253147611063
BaseRepresentation
bin1011010000110010…
…1111101101100000
321210200202111200001
42310030233231200
522142422140112
61215554305344
7134630054611
oct26414575540
97720674601
103023240032
1113115a3a8a
12704588254
13392460637
14209735c08
1512a634c57
hexb432fb60

3023240032 has 96 divisors (see below), whose sum is σ = 6383591424. Its totient is φ = 1406937600.

The previous prime is 3023239987. The next prime is 3023240047. The reversal of 3023240032 is 2300423203.

3023240032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30232400322 = 18279960582174722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3023239991 and 3023240009.

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, 2843533 + ... + 2844595.

It is an arithmetic number, because the mean of its divisors is an integer number (66495744).

Almost surely, 23023240032 is an apocalyptic number.

3023240032 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 3023240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191795712).

3023240032 is an abundant number, since it is smaller than the sum of its proper divisors (3360351392).

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

3023240032 is a wasteful number, since it uses less digits than its factorization.

3023240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3023240032 is about 54983.9979630438. The cubic root of 3023240032 is about 1445.9642087396.

Adding to 3023240032 its reverse (2300423203), we get a palindrome (5323663235).

The spelling of 3023240032 in words is "three billion, twenty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 47 61 62 94 122 124 188 244 248 376 488 496 752 976 992 1063 1457 1504 1891 1952 2126 2867 2914 3782 4252 5734 5828 7564 8504 11468 11656 15128 17008 22936 23312 30256 32953 34016 45872 46624 49961 60512 64843 65906 88877 91744 99922 129686 131812 177754 199844 259372 263624 355508 399688 518744 527248 711016 799376 1037488 1054496 1422032 1548791 1598752 2010133 2074976 2844064 3047621 3097582 4020266 6095242 6195164 8040532 12190484 12390328 16081064 24380968 24780656 32162128 48761936 49561312 64324256 94476251 97523872 188952502 377905004 755810008 1511620016 3023240032