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335005424 = 241341163241
BaseRepresentation
bin10011111101111…
…100011011110000
3212100101001001022
4103331330123300
51141230133144
653124155012
711205333125
oct2375743360
9770331038
10335005424
11162113596
1294238a68
1354536180
14326c674c
151e625cee
hex13f7c6f0

335005424 has 80 divisors (see below), whose sum is σ = 723432864. Its totient is φ = 149299200.

The previous prime is 335005423. The next prime is 335005439. The reversal of 335005424 is 424500533.

It is a super-2 number, since 2×3350054242 = 224457268218839552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 335005393 and 335005402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335005423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389944 + ... + 1390184.

Almost surely, 2335005424 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 335005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361716432).

335005424 is an abundant number, since it is smaller than the sum of its proper divisors (388427440).

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

335005424 is a wasteful number, since it uses less digits than its factorization.

335005424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 335005424 is about 18303.1533895119. The cubic root of 335005424 is about 694.5187040906.

Adding to 335005424 its reverse (424500533), we get a palindrome (759505957).

The spelling of 335005424 in words is "three hundred thirty-five million, five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 163 164 208 241 326 328 482 533 652 656 964 1066 1304 1928 2119 2132 2608 3133 3856 4238 4264 6266 6683 8476 8528 9881 12532 13366 16952 19762 25064 26732 33904 39283 39524 50128 53464 78566 79048 86879 106928 128453 157132 158096 173758 256906 314264 347516 510679 513812 628528 695032 1021358 1027624 1390064 1610603 2042716 2055248 3221206 4085432 6442412 8170864 12884824 20937839 25769648 41875678 83751356 167502712 335005424