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1934405649 = 321147439947
BaseRepresentation
bin111001101001100…
…1011000000010001
311222210220222200200
41303103023000101
512430201440044
6515541005413
765636114421
oct16323130021
94883828620
101934405649
11902a15660
1245b9b3869
1324a9bbc37
14144ca2481
15b4c57369
hex734cb011

1934405649 has 48 divisors (see below), whose sum is σ = 3123394560. Its totient is φ = 1143600480.

The previous prime is 1934405573. The next prime is 1934405653. The reversal of 1934405649 is 9465044391.

1934405649 is a `hidden beast` number, since 19 + 34 + 40 + 564 + 9 = 666.

It is not a de Polignac number, because 1934405649 - 28 = 1934405393 is a prime.

It is a super-2 number, since 2×19344056492 = 7483850429766222402, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1934405659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042194 + ... + 2043140.

It is an arithmetic number, because the mean of its divisors is an integer number (65070720).

Almost surely, 21934405649 is an apocalyptic number.

It is an amenable number.

1934405649 is a deficient number, since it is larger than the sum of its proper divisors (1188988911).

1934405649 is a wasteful number, since it uses less digits than its factorization.

1934405649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1934405649 is about 43981.8786433686. The cubic root of 1934405649 is about 1245.9937118957.

The spelling of 1934405649 in words is "one billion, nine hundred thirty-four million, four hundred five thousand, six hundred forty-nine".

Divisors: 1 3 9 11 33 47 99 141 423 439 517 947 1317 1551 2841 3951 4653 4829 8523 10417 14487 20633 31251 43461 44509 61899 93753 133527 185697 226963 400581 415733 489599 680889 1247199 1468797 2042667 3741597 4406391 4573063 13719189 19539451 41157567 58618353 175855059 214933961 644801883 1934405649