Search a number
-
+
336057384 = 233133743677
BaseRepresentation
bin10100000001111…
…101010000101000
3212102100111001210
4110001331100220
51142012314014
653202513120
711220304065
oct2401752050
9772314053
10336057384
11162771983
12946657a0
1354813c30
14328bbc6c
151e782859
hex1407d428

336057384 has 128 divisors (see below), whose sum is σ = 952237440. Its totient is φ = 98122752.

The previous prime is 336057287. The next prime is 336057409. The reversal of 336057384 is 483750633.

It is a super-2 number, since 2×3360573842 = 225869130681846912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496054 + ... + 496730.

It is an arithmetic number, because the mean of its divisors is an integer number (7439355).

Almost surely, 2336057384 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 336057384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476118720).

336057384 is an abundant number, since it is smaller than the sum of its proper divisors (616180056).

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

336057384 is a wasteful number, since it uses less digits than its factorization.

336057384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 336057384 is about 18331.8679899240. The cubic root of 336057384 is about 695.2449037707.

The spelling of 336057384 in words is "three hundred thirty-six million, fifty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 43 52 74 78 86 104 111 129 148 156 172 222 258 296 312 344 444 481 516 559 677 888 962 1032 1118 1354 1443 1591 1677 1924 2031 2236 2708 2886 3182 3354 3848 4062 4472 4773 5416 5772 6364 6708 8124 8801 9546 11544 12728 13416 16248 17602 19092 20683 25049 26403 29111 35204 38184 41366 50098 52806 58222 62049 70408 75147 82732 87333 100196 105612 116444 124098 150294 165464 174666 200392 211224 232888 248196 300588 325637 349332 378443 496392 601176 651274 698664 756886 976911 1077107 1135329 1302548 1513772 1953822 2154214 2270658 2605096 3027544 3231321 3907644 4308428 4541316 6462642 7815288 8616856 9082632 12925284 14002391 25850568 28004782 42007173 56009564 84014346 112019128 168028692 336057384