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334196280 = 23345119377
BaseRepresentation
bin10011111010110…
…110111000111000
3212021211221010000
4103322312320320
51141023240110
653054553000
711165423115
oct2372667070
9767757100
10334196280
11161710680
1293b08760
1354311aa2
143255590c
151e5161c0
hex13eb6e38

334196280 has 160 divisors (see below), whose sum is σ = 1225517040. Its totient is φ = 81008640.

The previous prime is 334196227. The next prime is 334196281. The reversal of 334196280 is 82691433.

334196280 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 2×3341962802 = 223374307131676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334196281) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 30952 + ... + 40328.

Almost surely, 2334196280 is an apocalyptic number.

334196280 is a gapful number since it is divisible by the number (30) 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 334196280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612758520).

334196280 is an abundant number, since it is smaller than the sum of its proper divisors (891320760).

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

334196280 is a wasteful number, since it uses less digits than its factorization.

334196280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9411 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 334196280 is about 18281.0360756714. The cubic root of 334196280 is about 693.9590925623.

The spelling of 334196280 in words is "three hundred thirty-four million, one hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 9377 11880 17820 18754 28131 35640 37508 46885 56262 75016 84393 93770 103147 112524 140655 168786 187540 206294 225048 253179 281310 309441 337572 375080 412588 421965 506358 515735 562620 618882 675144 759537 825176 843930 928323 1012716 1031470 1125240 1237764 1265895 1519074 1547205 1687860 1856646 2025432 2062940 2475528 2531790 2784969 3038148 3094410 3375720 3713292 3797685 4125880 4641615 5063580 5569938 6076296 6188820 7426584 7595370 8354907 9283230 10127160 11139876 12377640 13924845 15190740 16709814 18566460 22279752 27849690 30381480 33419628 37132920 41774535 55699380 66839256 83549070 111398760 167098140 334196280