Search a number
-
+
30780336 = 2431767563
BaseRepresentation
bin111010101101…
…0101110110000
32010220210200110
41311122232300
530334432321
63015421320
7522425406
oct165325660
963823613
1030780336
11164137a4
12a384840
1364b9222
144133476
152a80176
hex1d5abb0

30780336 has 80 divisors (see below), whose sum is σ = 85601664. Its totient is φ = 9495552.

The previous prime is 30780329. The next prime is 30780349. The reversal of 30780336 is 63308703.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54391 + ... + 54953.

Almost surely, 230780336 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 30780336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800832).

30780336 is an abundant number, since it is smaller than the sum of its proper divisors (54821328).

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

30780336 is a wasteful number, since it uses less digits than its factorization.

30780336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 30780336 is about 5548.0028839214. The cubic root of 30780336 is about 313.3943183946.

The spelling of 30780336 in words is "thirty million, seven hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 563 804 816 1072 1126 1139 1608 1689 2252 2278 3216 3378 3417 4504 4556 6756 6834 9008 9112 9571 13512 13668 18224 19142 27024 27336 28713 37721 38284 54672 57426 75442 76568 113163 114852 150884 153136 226326 229704 301768 452652 459408 603536 641257 905304 1282514 1810608 1923771 2565028 3847542 5130056 7695084 10260112 15390168 30780336