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30788436 = 223719101191
BaseRepresentation
bin111010101110…
…0101101010100
32010221012210110
41311130231110
530340212221
63015523020
7522461130
oct165345524
963835713
1030788436
1116419898
12a389470
1364bcb13
1441363c0
152a82776
hex1d5cb54

30788436 has 96 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 8208000.

The previous prime is 30788423. The next prime is 30788437. The reversal of 30788436 is 63488703.

It is a junction number, because it is equal to n+sod(n) for n = 30788394 and 30788403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30788437) 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, 161101 + ... + 161291.

It is an arithmetic number, because the mean of its divisors is an integer number (913920).

Almost surely, 230788436 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 30788436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160).

30788436 is an abundant number, since it is smaller than the sum of its proper divisors (56947884).

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

30788436 is a wasteful number, since it uses less digits than its factorization.

30788436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 30788436 is about 5548.7328283131. The cubic root of 30788436 is about 313.4218064131.

The spelling of 30788436 in words is "thirty million, seven hundred eighty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 101 114 133 191 202 228 266 303 382 399 404 532 573 606 707 764 798 1146 1212 1337 1414 1596 1919 2121 2292 2674 2828 3629 3838 4011 4242 5348 5757 7258 7676 8022 8484 10887 11514 13433 14516 16044 19291 21774 23028 25403 26866 38582 40299 43548 50806 53732 57873 76209 77164 80598 101612 115746 135037 152418 161196 231492 270074 304836 366529 405111 540148 733058 810222 1099587 1466116 1620444 2199174 2565703 4398348 5131406 7697109 10262812 15394218 30788436