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1356204032 = 2115091301
BaseRepresentation
bin101000011010110…
…0000100000000000
310111111221022011222
41100311200200000
510234142012112
6342324054212
745415354421
oct12065404000
93444838158
101356204032
116365a6187
1231a234368
13187c861c1
14cc191648
157e0e3372
hex50d60800

1356204032 has 48 divisors (see below), whose sum is σ = 2719161900. Its totient is φ = 676249600.

The previous prime is 1356204013. The next prime is 1356204041. The reversal of 1356204032 is 2304026531.

It can be written as a sum of positive squares in 2 ways, for example, as 1300612096 + 55591936 = 36064^2 + 7456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1356203992 and 1356204010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1041782 + ... + 1043082.

Almost surely, 21356204032 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 1356204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359580950).

1356204032 is an abundant number, since it is smaller than the sum of its proper divisors (1362957868).

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

1356204032 is an equidigital number, since it uses as much as digits as its factorization.

1356204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1356204032 is about 36826.6755491179. The cubic root of 1356204032 is about 1106.8998885897.

The spelling of 1356204032 in words is "one billion, three hundred fifty-six million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 509 512 1018 1024 1301 2036 2048 2602 4072 5204 8144 10408 16288 20816 32576 41632 65152 83264 130304 166528 260608 333056 521216 662209 666112 1042432 1324418 1332224 2648836 2664448 5297672 10595344 21190688 42381376 84762752 169525504 339051008 678102016 1356204032