Search a number
-
+
334130368 = 26112133319
BaseRepresentation
bin10011111010100…
…110110011000000
3212021201120200211
4103322212303000
51141014132433
653053323504
711165030005
oct2372466300
9767646624
10334130368
11161676100
1293a96594
13542baaa0
14325398ac
151e5018cd
hex13ea6cc0

334130368 has 84 divisors (see below), whose sum is σ = 785093680. Its totient is φ = 140152320.

The previous prime is 334130351. The next prime is 334130389. The reversal of 334130368 is 863031433.

It is a super-2 number, since 2×3341303682 = 223286205639630848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99013 + ... + 102331.

Almost surely, 2334130368 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 334130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392546840).

334130368 is an abundant number, since it is smaller than the sum of its proper divisors (450963312).

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

334130368 is a wasteful number, since it uses less digits than its factorization.

334130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 334130368 is about 18279.2332443131. The cubic root of 334130368 is about 693.9134674394.

The spelling of 334130368 in words is "three hundred thirty-four million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3319 3872 4576 6292 6638 7744 9152 12584 13276 25168 26552 36509 43147 50336 53104 73018 86294 100672 106208 146036 172588 212416 292072 345176 401599 474617 584144 690352 803198 949234 1168288 1380704 1606396 1898468 2336576 2761408 3212792 3796936 5220787 6425584 7593872 10441574 12851168 15187744 20883148 25702336 30375488 41766296 83532592 167065184 334130368