Search a number
-
+
134330304 = 26319231601
BaseRepresentation
bin10000000000110…
…11011111000000
3100100202200112110
420000123133000
5233342032204
621155055320
73220534353
oct1000333700
9310680473
10134330304
116990a389
1238ba1540
1321aa37b4
1413baa29a
15bbd6889
hex801b7c0

134330304 has 112 divisors (see below), whose sum is σ = 390631680. Its totient is φ = 40550400.

The previous prime is 134330297. The next prime is 134330321. The reversal of 134330304 is 403033431.

It is a congruent 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, 83104 + ... + 84704.

Almost surely, 2134330304 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 134330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195315840).

134330304 is an abundant number, since it is smaller than the sum of its proper divisors (256301376).

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

134330304 is a wasteful number, since it uses less digits than its factorization.

134330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 134330304 is about 11590.0950815772. The cubic root of 134330304 is about 512.1431077830.

Adding to 134330304 its reverse (403033431), we get a palindrome (537363735).

The spelling of 134330304 in words is "one hundred thirty-four million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 276 304 368 437 456 552 608 736 874 912 1104 1216 1311 1472 1601 1748 1824 2208 2622 3202 3496 3648 4416 4803 5244 6404 6992 9606 10488 12808 13984 19212 20976 25616 27968 30419 36823 38424 41952 51232 60838 73646 76848 83904 91257 102464 110469 121676 147292 153696 182514 220938 243352 294584 307392 365028 441876 486704 589168 699637 730056 883752 973408 1178336 1399274 1460112 1767504 1946816 2098911 2356672 2798548 2920224 3535008 4197822 5597096 5840448 7070016 8395644 11194192 16791288 22388384 33582576 44776768 67165152 134330304