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1934283744 = 253243315511
BaseRepresentation
bin111001101001010…
…1101001111100000
311222210200210110200
41303102231033200
512430134034434
6515534225200
765635066131
oct16322551740
94883623420
101934283744
11902942008
1245b955200
1324a9785c3
14144c6dc88
15b4c31199
hex734ad3e0

1934283744 has 72 divisors (see below), whose sum is σ = 5513678352. Its totient is φ = 643230720.

The previous prime is 1934283737. The next prime is 1934283779. The reversal of 1934283744 is 4473824391.

1934283744 is a `hidden beast` number, since 193 + 428 + 37 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1934283744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116949 + ... + 132459.

It is an arithmetic number, because the mean of its divisors is an integer number (76578866).

Almost surely, 21934283744 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 1934283744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756839176).

1934283744 is an abundant number, since it is smaller than the sum of its proper divisors (3579394608).

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

1934283744 is a wasteful number, since it uses less digits than its factorization.

1934283744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960 (or 15949 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1934283744 is about 43980.4927666801. The cubic root of 1934283744 is about 1245.9675374383.

The spelling of 1934283744 in words is "one billion, nine hundred thirty-four million, two hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 433 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15511 15588 20784 31022 31176 41568 46533 62044 62352 93066 124088 124704 139599 186132 248176 279198 372264 496352 558396 744528 1116792 1489056 2233584 4467168 6716263 13432526 20148789 26865052 40297578 53730104 60446367 80595156 107460208 120892734 161190312 214920416 241785468 322380624 483570936 644761248 967141872 1934283744