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348134340 = 223519319851
BaseRepresentation
bin10100110000000…
…001101111000100
3220021002001112110
4110300001233010
51203110244330
654313421020
711425043631
oct2460015704
9807061473
10348134340
11169570534
129870a770
1357181c68
1434343188
152086adb0
hex14c01bc4

348134340 has 96 divisors (see below), whose sum is σ = 1059287040. Its totient is φ = 85104000.

The previous prime is 348134327. The next prime is 348134341. The reversal of 348134340 is 43431843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 348134298 and 348134307.

It is not an unprimeable number, because it can be changed into a prime (348134341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30415 + ... + 40265.

It is an arithmetic number, because the mean of its divisors is an integer number (11034240).

Almost surely, 2348134340 is an apocalyptic number.

348134340 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 348134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529643520).

348134340 is an abundant number, since it is smaller than the sum of its proper divisors (711152700).

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

348134340 is a wasteful number, since it uses less digits than its factorization.

348134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 348134340 is about 18658.3584486953. The cubic root of 348134340 is about 703.4754642394.

The spelling of 348134340 in words is "three hundred forty-eight million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8835 9851 11780 17670 19702 29553 35340 39404 49255 59106 98510 118212 147765 187169 197020 295530 305381 374338 561507 591060 610762 748676 916143 935845 1123014 1221524 1526905 1832286 1871690 2246028 2807535 3053810 3664572 3743380 4580715 5615070 5802239 6107620 9161430 11230140 11604478 17406717 18322860 23208956 29011195 34813434 58022390 69626868 87033585 116044780 174067170 348134340