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348168240 = 24335723027
BaseRepresentation
bin10100110000001…
…010000000110000
3220021010210001000
4110300022000300
51203112340430
654314242000
711425244520
oct2460120060
9807123030
10348168240
11169593a52
1298726300
1357194514
1434351680
1520875e60
hex14c0a030

348168240 has 160 divisors (see below), whose sum is σ = 1370626560. Its totient is φ = 79577856.

The previous prime is 348168239. The next prime is 348168241. The reversal of 348168240 is 42861843.

It is an interprime number because it is at equal distance from previous prime (348168239) and next prime (348168241).

It is a super-2 number, since 2×3481682402 = 242442246689395200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 348168195 and 348168204.

It is not an unprimeable number, because it can be changed into a prime (348168241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3607 + ... + 26633.

It is an arithmetic number, because the mean of its divisors is an integer number (8566416).

Almost surely, 2348168240 is an apocalyptic number.

348168240 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 348168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685313280).

348168240 is an abundant number, since it is smaller than the sum of its proper divisors (1022458320).

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

348168240 is a wasteful number, since it uses less digits than its factorization.

348168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23056 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 348168240 is about 18659.2668666269. The cubic root of 348168240 is about 703.4982974213.

The spelling of 348168240 in words is "three hundred forty-eight million, one hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 23027 46054 69081 92108 115135 138162 161189 184216 207243 230270 276324 322378 345405 368432 414486 460540 483567 552648 621729 644756 690810 805945 828972 921080 967134 1036215 1105296 1243458 1289512 1381620 1450701 1611890 1657944 1842160 1934268 2072430 2417835 2486916 2579024 2763240 2901402 3108645 3223780 3315888 3868536 4144860 4352103 4835670 4973832 5526480 5802804 6217290 6447560 7253505 7737072 8289720 8704206 9671340 9947664 11605608 12434580 12895120 14507010 16579440 17408412 19342680 21760515 23211216 24869160 29014020 34816824 38685360 43521030 49738320 58028040 69633648 87042060 116056080 174084120 348168240