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1335420024 = 23347225189
BaseRepresentation
bin100111110011000…
…1110010001111000
310110001211100212220
41033212032101320
510213331420044
6340302404040
745043611561
oct11746162170
93401740786
101335420024
1162589a914
12313290620
13183889c83
14c9501168
157c38a019
hex4f98e478

1335420024 has 48 divisors (see below), whose sum is σ = 3411229800. Its totient is φ = 435651648.

The previous prime is 1335420019. The next prime is 1335420133. The reversal of 1335420024 is 4200245331.

1335420024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1335419976 and 1335420003.

It is a congruent number.

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, 40422 + ... + 65610.

Almost surely, 21335420024 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 1335420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705614900).

1335420024 is an abundant number, since it is smaller than the sum of its proper divisors (2075809776).

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

1335420024 is a wasteful number, since it uses less digits than its factorization.

1335420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25292 (or 25241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1335420024 is about 36543.3991850786. The cubic root of 1335420024 is about 1101.2162920913.

Adding to 1335420024 its reverse (4200245331), we get a palindrome (5535665355).

The spelling of 1335420024 in words is "one billion, three hundred thirty-five million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2209 4418 6627 8836 13254 17672 25189 26508 50378 53016 75567 100756 151134 201512 302268 604536 1183883 2367766 3551649 4735532 7103298 9471064 14206596 28413192 55642501 111285002 166927503 222570004 333855006 445140008 667710012 1335420024