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1363563342 = 23347836473
BaseRepresentation
bin101000101000110…
…0101001101001110
310112000210012021000
41101101211031032
510243033011332
6343145521130
745535045221
oct12121451516
93460705230
101363563342
1163a772359
123207a31a6
13189661b1b
14cd1495b8
157ea98b7c
hex5146534e

1363563342 has 64 divisors (see below), whose sum is σ = 3132380160. Its totient is φ = 439422912.

The previous prime is 1363563287. The next prime is 1363563343. The reversal of 1363563342 is 2433653631.

1363563342 is a `hidden beast` number, since 1 + 3 + 63 + 563 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1363563297 and 1363563306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363563343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207418 + ... + 213890.

It is an arithmetic number, because the mean of its divisors is an integer number (48943440).

Almost surely, 21363563342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363563342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566190080).

1363563342 is an abundant number, since it is smaller than the sum of its proper divisors (1768816818).

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

1363563342 is a wasteful number, since it uses less digits than its factorization.

1363563342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6608 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 1363563342 is about 36926.4585629329. The cubic root of 1363563342 is about 1108.8984396823.

The spelling of 1363563342 in words is "one billion, three hundred sixty-three million, five hundred sixty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 83 94 141 166 249 282 423 498 747 846 1269 1494 2241 2538 3901 4482 6473 7802 11703 12946 19419 23406 35109 38838 58257 70218 105327 116514 174771 210654 304231 349542 537259 608462 912693 1074518 1611777 1825386 2738079 3223554 4835331 5476158 8214237 9670662 14505993 16428474 25251173 29011986 50502346 75753519 151507038 227260557 454521114 681781671 1363563342