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1356983424 = 27324432659
BaseRepresentation
bin101000011100001…
…1110110010000000
310111120101220022100
41100320132302000
510234341432144
6342352510400
745425111616
oct12070366200
93446356270
101356983424
11636a88805
1231a54b400
13188199b94
14cc3156b6
157e1e9269
hex50e1ec80

1356983424 has 96 divisors (see below), whose sum is σ = 3915147600. Its totient is φ = 451137024.

The previous prime is 1356983413. The next prime is 1356983447. The reversal of 1356983424 is 4243896531.

1356983424 is a `hidden beast` number, since 1 + 3 + 569 + 83 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1356983424.

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, 509007 + ... + 511665.

Almost surely, 21356983424 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 1356983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957573800).

1356983424 is an abundant number, since it is smaller than the sum of its proper divisors (2558164176).

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

1356983424 is a wasteful number, since it uses less digits than its factorization.

1356983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3107 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1356983424 is about 36837.2559238606. The cubic root of 1356983424 is about 1107.1118880843. Note that the first 3 decimals are identical.

The spelling of 1356983424 in words is "one billion, three hundred fifty-six million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 443 576 886 1152 1329 1772 2658 2659 3544 3987 5316 5318 7088 7974 7977 10632 10636 14176 15948 15954 21264 21272 23931 28352 31896 31908 42528 42544 47862 56704 63792 63816 85056 85088 95724 127584 127632 170112 170176 191448 255168 255264 340352 382896 510336 510528 765792 1021056 1177937 1531584 2355874 3063168 3533811 4711748 7067622 9423496 10601433 14135244 18846992 21202866 28270488 37693984 42405732 56540976 75387968 84811464 113081952 150775936 169622928 226163904 339245856 452327808 678491712 1356983424