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1934936064 = 21132113929
BaseRepresentation
bin111001101010100…
…1100100000000000
311222211220221021200
41303111030200000
512430320423224
6520000221200
765643454005
oct16325144000
94884827250
101934936064
11903248116
1246000a800
1324ab464a9
14144d9d8ac
15b4d0e5c9
hex7354c800

1934936064 has 144 divisors (see below), whose sum is σ = 5643974700. Its totient is φ = 638582784.

The previous prime is 1934936033. The next prime is 1934936119. The reversal of 1934936064 is 4606394391.

1934936064 is a `hidden beast` number, since 1 + 9 + 34 + 9 + 3 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1227801600 + 707134464 = 35040^2 + 26592^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082352 + ... + 2083280.

Almost surely, 21934936064 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 1934936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821987350).

1934936064 is an abundant number, since it is smaller than the sum of its proper divisors (3709038636).

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

1934936064 is a wasteful number, since it uses less digits than its factorization.

1934936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1934936064 is about 43987.9081566741. The cubic root of 1934936064 is about 1246.1075855220.

The spelling of 1934936064 in words is "one billion, nine hundred thirty-four million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 929 1017 1024 1152 1356 1536 1808 1858 2034 2048 2304 2712 2787 3072 3616 3716 4068 4608 5424 5574 6144 7232 7432 8136 8361 9216 10848 11148 14464 14864 16272 16722 18432 21696 22296 28928 29728 32544 33444 43392 44592 57856 59456 65088 66888 86784 89184 104977 115712 118912 130176 133776 173568 178368 209954 231424 237824 260352 267552 314931 347136 356736 419908 475648 520704 535104 629862 694272 713472 839816 944793 951296 1041408 1070208 1259724 1426944 1679632 1889586 1902592 2082816 2140416 2519448 2853888 3359264 3779172 4280832 5038896 5707776 6718528 7558344 8561664 10077792 13437056 15116688 17123328 20155584 26874112 30233376 40311168 53748224 60466752 80622336 107496448 120933504 161244672 214992896 241867008 322489344 483734016 644978688 967468032 1934936064