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1934024328 = 2332167239673
BaseRepresentation
bin111001101000110…
…1101111010001000
311222210012121121200
41303101231322020
512430102234303
6515524504200
765632635615
oct16321557210
94883177550
101934024328
11902785115
1245b84b060
1324a8b74c2
14144c0350c
15b4bce3a3
hex7346de88

1934024328 has 96 divisors (see below), whose sum is σ = 5299257600. Its totient is φ = 637185024.

The previous prime is 1934024327. The next prime is 1934024371. The reversal of 1934024328 is 8234204391.

1934024328 is a `hidden beast` number, since 193 + 402 + 43 + 28 = 666.

1934024328 is digitally balanced in base 4, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1934024292 and 1934024301.

It is not an unprimeable number, because it can be changed into a prime (1934024327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2873400 + ... + 2874072.

It is an arithmetic number, because the mean of its divisors is an integer number (55200600).

Almost surely, 21934024328 is an apocalyptic number.

1934024328 is a gapful number since it is divisible by the number (18) 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 1934024328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649628800).

1934024328 is an abundant number, since it is smaller than the sum of its proper divisors (3365233272).

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

1934024328 is a wasteful number, since it uses less digits than its factorization.

1934024328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1934024328 is about 43977.5434511752. The cubic root of 1934024328 is about 1245.9118340690.

The spelling of 1934024328 in words is "one billion, nine hundred thirty-four million, twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 239 334 478 501 668 673 717 956 1002 1336 1346 1434 1503 1912 2004 2019 2151 2692 2868 3006 4008 4038 4302 5384 5736 6012 6057 8076 8604 12024 12114 16152 17208 24228 39913 48456 79826 112391 119739 159652 160847 224782 239478 319304 321694 337173 359217 449564 478956 482541 643388 674346 718434 899128 957912 965082 1011519 1286776 1348692 1436868 1447623 1930164 2023038 2697384 2873736 2895246 3860328 4046076 5790492 8092152 11580984 26861449 53722898 80584347 107445796 161168694 214891592 241753041 322337388 483506082 644674776 967012164 1934024328