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503135334 = 23313898053
BaseRepresentation
bin11101111111010…
…011110001100110
31022001201220221000
4131333103301212
52012300312314
6121531534130
715316402602
oct3577236146
91261656830
10503135334
11239009029
121205ba346
1380312220
144ab70502
152e287209
hex1dfd3c66

503135334 has 64 divisors (see below), whose sum is σ = 1217764800. Its totient is φ = 153052416.

The previous prime is 503135317. The next prime is 503135341. The reversal of 503135334 is 433531305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 503135298 and 503135307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58452 + ... + 66504.

It is an arithmetic number, because the mean of its divisors is an integer number (19027575).

Almost surely, 2503135334 is an apocalyptic number.

503135334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 503135334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608882400).

503135334 is an abundant number, since it is smaller than the sum of its proper divisors (714629466).

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

503135334 is a wasteful number, since it uses less digits than its factorization.

503135334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 503135334 is about 22430.6784114971. The cubic root of 503135334 is about 795.3560811422.

Adding to 503135334 its reverse (433531305), we get a palindrome (936666639).

The spelling of 503135334 in words is "five hundred three million, one hundred thirty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 178 234 267 351 534 702 801 1157 1602 2314 2403 3471 4806 6942 8053 10413 16106 20826 24159 31239 48318 62478 72477 104689 144954 209378 217431 314067 434862 628134 716717 942201 1433434 1884402 2150151 2826603 4300302 5653206 6450453 9317321 12900906 18634642 19351359 27951963 38702718 55903926 83855889 167711778 251567667 503135334