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334206912 = 26313257521
BaseRepresentation
bin10011111010111…
…001011111000000
3212021212110200210
4103322321133000
51141024110122
653055114120
711165466114
oct2372713700
9767773623
10334206912
11161718666
1293b12940
1354316890
1432559744
151e51940c
hex13eb97c0

334206912 has 112 divisors (see below), whose sum is σ = 957815712. Its totient is φ = 102236160.

The previous prime is 334206911. The next prime is 334206919. The reversal of 334206912 is 219602433.

It is a super-2 number, since 2×3342069122 = 223388520057151488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334206912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334206911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641212 + ... + 641732.

It is an arithmetic number, because the mean of its divisors is an integer number (8551926).

Almost surely, 2334206912 is an apocalyptic number.

334206912 is a gapful number since it is divisible by the number (32) 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 334206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478907856).

334206912 is an abundant number, since it is smaller than the sum of its proper divisors (623608800).

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

334206912 is a wasteful number, since it uses less digits than its factorization.

334206912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 334206912 is about 18281.3268665051. The cubic root of 334206912 is about 693.9664516057.

The spelling of 334206912 in words is "three hundred thirty-four million, two hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 257 312 416 514 521 624 771 832 1028 1042 1248 1542 1563 2056 2084 2496 3084 3126 3341 4112 4168 6168 6252 6682 6773 8224 8336 10023 12336 12504 13364 13546 16448 16672 20046 20319 24672 25008 26728 27092 33344 40092 40638 49344 50016 53456 54184 80184 81276 100032 106912 108368 133897 160368 162552 213824 216736 267794 320736 325104 401691 433472 535588 641472 650208 803382 1071176 1300416 1606764 1740661 2142352 3213528 3481322 4284704 5221983 6427056 6962644 8569408 10443966 12854112 13925288 20887932 25708224 27850576 41775864 55701152 83551728 111402304 167103456 334206912