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340310100 = 2235213711229
BaseRepresentation
bin10100010010001…
…011100001010100
3212201100112200210
4110102023201110
51144104410400
653434005420
711301405504
oct2422134124
9781315623
10340310100
11165107019
1295b76870
1355672830
14332a7a04
151ed22950
hex1448b854

340310100 has 144 divisors (see below), whose sum is σ = 1076181120. Its totient is φ = 82521600.

The previous prime is 340310081. The next prime is 340310111. The reversal of 340310100 is 1013043.

340310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 276286 + ... + 277514.

It is an arithmetic number, because the mean of its divisors is an integer number (7473480).

Almost surely, 2340310100 is an apocalyptic number.

340310100 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 340310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538090560).

340310100 is an abundant number, since it is smaller than the sum of its proper divisors (735871020).

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

340310100 is a wasteful number, since it uses less digits than its factorization.

340310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 340310100 is about 18447.4957650083. The cubic root of 340310100 is about 698.1653316728.

Adding to 340310100 its reverse (1013043), we get a palindrome (341323143).

The spelling of 340310100 in words is "three hundred forty million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 71 75 78 100 130 142 150 156 195 213 260 284 300 325 355 390 426 650 710 780 852 923 975 1065 1229 1300 1420 1775 1846 1950 2130 2458 2769 3550 3687 3692 3900 4260 4615 4916 5325 5538 6145 7100 7374 9230 10650 11076 12290 13845 14748 15977 18435 18460 21300 23075 24580 27690 30725 31954 36870 46150 47931 55380 61450 63908 69225 73740 79885 87259 92175 92300 95862 122900 138450 159770 174518 184350 191724 239655 261777 276900 319540 349036 368700 399425 436295 479310 523554 798850 872590 958620 1047108 1134367 1198275 1308885 1597700 1745180 2181475 2268734 2396550 2617770 3403101 4362950 4537468 4793100 5235540 5671835 6544425 6806202 8725900 11343670 13088850 13612404 17015505 22687340 26177700 28359175 34031010 56718350 68062020 85077525 113436700 170155050 340310100