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334838196 = 2232711199607
BaseRepresentation
bin10011111101010…
…011100110110100
3212100001112122200
4103331103212310
51141204310241
653120424500
711204035440
oct2375234664
9770045580
10334838196
11162009990
1294178130
13544a8014
1432681820
151e5e14b6
hex13f539b4

334838196 has 144 divisors (see below), whose sum is σ = 1062297600. Its totient is φ = 86391360.

The previous prime is 334838177. The next prime is 334838233. The reversal of 334838196 is 691838433.

334838196 is a `hidden beast` number, since 3 + 3 + 483 + 81 + 96 = 666.

334838196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3348381962 = 224233235001068832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551325 + ... + 551931.

Almost surely, 2334838196 is an apocalyptic number.

334838196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334838196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531148800).

334838196 is an abundant number, since it is smaller than the sum of its proper divisors (727459404).

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

334838196 is a wasteful number, since it uses less digits than its factorization.

334838196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 334838196 is about 18298.5845354224. The cubic root of 334838196 is about 694.4031215793.

The spelling of 334838196 in words is "three hundred thirty-four million, eight hundred thirty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 199 231 252 308 396 398 462 597 607 693 796 924 1194 1214 1386 1393 1791 1821 2189 2388 2428 2772 2786 3582 3642 4179 4249 4378 5463 5572 6567 6677 7164 7284 8358 8498 8756 10926 12537 12747 13134 13354 15323 16716 16996 19701 20031 21852 25074 25494 26268 26708 30646 38241 39402 40062 45969 46739 50148 50988 60093 61292 76482 78804 80124 91938 93478 120186 120793 137907 140217 152964 183876 186956 240372 241586 275814 280434 362379 420651 483172 551628 560868 724758 841302 845551 1087137 1328723 1449516 1682604 1691102 2174274 2536653 2657446 3382204 3986169 4348548 5073306 5314892 7609959 7972338 9301061 10146612 11958507 15219918 15944676 18602122 23917014 27903183 30439836 37204244 47834028 55806366 83709549 111612732 167419098 334838196