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534019392 = 2634313323
BaseRepresentation
bin11111110101000…
…111110101000000
31101012211222220000
4133311013311000
52043202110032
6124553520000
716143042564
oct3765076500
91335758800
10534019392
11254492745
1212aa13000
138683670a
1450ccd6a4
1531d37e7c
hex1fd47d40

534019392 has 140 divisors (see below), whose sum is σ = 1634557056. Its totient is φ = 172212480.

The previous prime is 534019373. The next prime is 534019393. The reversal of 534019392 is 293910435.

It is a happy number.

It is a super-2 number, since 2×5340193922 = 570353422064099328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534019393) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159043 + ... + 162365.

Almost surely, 2534019392 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 534019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817278528).

534019392 is an abundant number, since it is smaller than the sum of its proper divisors (1100537664).

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

534019392 is a wasteful number, since it uses less digits than its factorization.

534019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 534019392 is about 23108.8595997293. The cubic root of 534019392 is about 811.3078460307.

The spelling of 534019392 in words is "five hundred thirty-four million, nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3323 3348 4464 5022 5184 5952 6646 6696 8928 9969 10044 13292 13392 17856 19938 20088 26584 26784 29907 39876 40176 53168 53568 59814 79752 80352 89721 103013 106336 119628 159504 160704 179442 206026 212672 239256 269163 309039 319008 358884 412052 478512 538326 618078 638016 717768 824104 927117 957024 1076652 1236156 1435536 1648208 1854234 1914048 2153304 2472312 2781351 2871072 3296416 3708468 4306608 4944624 5562702 5742144 6592832 7416936 8344053 8613216 9889248 11125404 14833872 16688106 17226432 19778496 22250808 29667744 33376212 44501616 59335488 66752424 89003232 133504848 178006464 267009696 534019392