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1356427824 = 243179717137
BaseRepresentation
bin101000011011001…
…0111001000110000
310111112100200011120
41100312113020300
510234221142244
6342332542240
745420306033
oct12066271060
93445320146
101356427824
11636739334
1231a321980
1318803401b
14cc20d01a
157e139819
hex50d97230

1356427824 has 80 divisors (see below), whose sum is σ = 3748697568. Its totient is φ = 421134336.

The previous prime is 1356427823. The next prime is 1356427859. The reversal of 1356427824 is 4287246531.

It is not an unprimeable number, because it can be changed into a prime (1356427823) 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 15 ways as a sum of consecutive naturals, for example, 70584 + ... + 87720.

Almost surely, 21356427824 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 1356427824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874348784).

1356427824 is an abundant number, since it is smaller than the sum of its proper divisors (2392269744).

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

1356427824 is a wasteful number, since it uses less digits than its factorization.

1356427824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17262 (or 17256 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 1356427824 is about 36829.7138734473. The cubic root of 1356427824 is about 1106.9607697230.

The spelling of 1356427824 in words is "one billion, three hundred fifty-six million, four hundred twenty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 388 408 582 776 816 1164 1552 1649 2328 3298 4656 4947 6596 9894 13192 17137 19788 26384 34274 39576 51411 68548 79152 102822 137096 205644 274192 291329 411288 582658 822576 873987 1165316 1662289 1747974 2330632 3324578 3495948 4661264 4986867 6649156 6991896 9973734 13298312 13983792 19947468 26596624 28258913 39894936 56517826 79789872 84776739 113035652 169553478 226071304 339106956 452142608 678213912 1356427824