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343134300 = 2235219371627
BaseRepresentation
bin10100011100111…
…101000001011100
3212220200000202210
4110130331001130
51200320244200
654014320420
711334410355
oct2434750134
9786600683
10343134300
11166765973
1296ab9110
1356121162
1433800d2c
15201ce650
hex1473d05c

343134300 has 144 divisors (see below), whose sum is σ = 1073959040. Its totient is φ = 84291840.

The previous prime is 343134277. The next prime is 343134313. The reversal of 343134300 is 3431343.

It is a super-2 number, since 2×3431343002 = 235482295672980000, 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 47 ways as a sum of consecutive naturals, for example, 210087 + ... + 211713.

Almost surely, 2343134300 is an apocalyptic number.

343134300 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 343134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536979520).

343134300 is an abundant number, since it is smaller than the sum of its proper divisors (730824740).

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

343134300 is a wasteful number, since it uses less digits than its factorization.

343134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 343134300 is about 18523.8845818041. The cubic root of 343134300 is about 700.0913486229.

Adding to 343134300 its reverse (3431343), we get a palindrome (346565643).

343134300 divided by its reverse (3431343) gives a square (100 = 102).

The spelling of 343134300 in words is "three hundred forty-three million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1627 1850 1900 2109 2220 2775 2812 2850 3254 3515 3700 4218 4881 5550 5700 6508 7030 8135 8436 9762 10545 11100 14060 16270 17575 19524 21090 24405 30913 32540 35150 40675 42180 48810 52725 60199 61826 70300 81350 92739 97620 105450 120398 122025 123652 154565 162700 180597 185478 210900 240796 244050 300995 309130 361194 370956 463695 488100 601990 618260 722388 772825 902985 927390 1143781 1203980 1504975 1545650 1805970 1854780 2287562 2318475 3009950 3091300 3431343 3611940 4514925 4575124 4636950 5718905 6019900 6862686 9029850 9273900 11437810 13725372 17156715 18059700 22875620 28594525 34313430 57189050 68626860 85783575 114378100 171567150 343134300