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3818330928 = 24359912
BaseRepresentation
bin1110001110010111…
…0001101100110000
3100212002212022100000
43203211301230300
530304443042203
61430520030000
7163423164066
oct34345615460
910762768300
103818330928
11168a3915a5
128a6902300
1348b0b4c19
14283184036
1517533c4a3
hexe3971b30

3818330928 has 90 divisors (see below), whose sum is σ = 11092995732. Its totient is φ = 1271492640.

The previous prime is 3818330927. The next prime is 3818330987. The reversal of 3818330928 is 8290338183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3818330928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3818330927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3852513 + ... + 3853503.

Almost surely, 23818330928 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 3818330928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546497866).

3818330928 is an abundant number, since it is smaller than the sum of its proper divisors (7274664804).

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

3818330928 is an frugal number, since it uses more digits than its factorization.

3818330928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3818330928 is about 61792.6446108273. The cubic root of 3818330928 is about 1562.9959585957.

Multiplying 3818330928 by its product of nonzero digits (248832), we get a square (950122921476096 = 308240642).

The spelling of 3818330928 in words is "three billion, eight hundred eighteen million, three hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 991 1296 1944 1982 2973 3888 3964 5946 7928 8919 11892 15856 17838 23784 26757 35676 47568 53514 71352 80271 107028 142704 160542 214056 240813 321084 428112 481626 642168 963252 982081 1284336 1926504 1964162 2946243 3853008 3928324 5892486 7856648 8838729 11784972 15713296 17677458 23569944 26516187 35354916 47139888 53032374 70709832 79548561 106064748 141419664 159097122 212129496 238645683 318194244 424258992 477291366 636388488 954582732 1272776976 1909165464 3818330928