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1898434314 = 233761281293
BaseRepresentation
bin111000100100111…
…1100111100001010
311220022020110022000
41301021330330022
512341444344224
6512214011430
765021265630
oct16111747412
94808213260
101898434314
11894686887
1244b946b76
1324340601a
141401bb350
15b19ee0c9
hex7127cf0a

1898434314 has 128 divisors (see below), whose sum is σ = 4934684160. Its totient is φ = 529804800.

The previous prime is 1898434313. The next prime is 1898434331. The reversal of 1898434314 is 4134348981.

1898434314 is a `hidden beast` number, since 189 + 8 + 434 + 31 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1898434314.

It is not an unprimeable number, because it can be changed into a prime (1898434313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6479152 + ... + 6479444.

It is an arithmetic number, because the mean of its divisors is an integer number (38552220).

Almost surely, 21898434314 is an apocalyptic number.

1898434314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1898434314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467342080).

1898434314 is an abundant number, since it is smaller than the sum of its proper divisors (3036249846).

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

1898434314 is a wasteful number, since it uses less digits than its factorization.

1898434314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1898434314 is about 43571.0260838553. The cubic root of 1898434314 is about 1238.2220256641. Note that the first 3 decimals are identical.

The spelling of 1898434314 in words is "one billion, eight hundred ninety-eight million, four hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 281 293 366 378 427 549 562 586 843 854 879 1098 1281 1647 1686 1758 1967 2051 2529 2562 2637 3294 3843 3934 4102 5058 5274 5901 6153 7587 7686 7911 11529 11802 12306 15174 15822 17141 17703 17873 18459 23058 34282 35406 35746 36918 51423 53109 53619 55377 82333 102846 106218 107238 110754 119987 125111 154269 160857 164666 239974 246999 250222 308538 321714 359961 375333 462807 482571 493998 576331 719922 740997 750666 925614 965142 1079883 1125999 1152662 1481994 1728993 2159766 2222991 2251998 3239649 3377997 3457986 4445982 5022313 5186979 6479298 6755994 10044626 10373958 15066939 15560937 30133878 31121874 35156191 45200817 70312382 90401634 105468573 135602451 210937146 271204902 316405719 632811438 949217157 1898434314