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348195840 = 2103522669
BaseRepresentation
bin10100110000010…
…000110000000000
3220021012011220020
4110300100300000
51203114231330
654315013440
711425421136
oct2460206000
9807164806
10348195840
11169602763
129873a280
13571a3c55
143435b756
152087e210
hex14c10c00

348195840 has 88 divisors (see below), whose sum is σ = 1113731760. Its totient is φ = 92848128.

The previous prime is 348195833. The next prime is 348195847. The reversal of 348195840 is 48591843.

It is an interprime number because it is at equal distance from previous prime (348195833) and next prime (348195847).

It is a junction number, because it is equal to n+sod(n) for n = 348195792 and 348195801.

It is not an unprimeable number, because it can be changed into a prime (348195847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4026 + ... + 26694.

Almost surely, 2348195840 is an apocalyptic number.

348195840 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 348195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556865880).

348195840 is an abundant number, since it is smaller than the sum of its proper divisors (765535920).

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

348195840 is a wasteful number, since it uses less digits than its factorization.

348195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 348195840 is about 18660.0064308671. The cubic root of 348195840 is about 703.5168861741.

The spelling of 348195840 in words is "three hundred forty-eight million, one hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 22669 45338 68007 90676 113345 136014 181352 226690 272028 340035 362704 453380 544056 680070 725408 906760 1088112 1360140 1450816 1813520 2176224 2720280 2901632 3627040 4352448 5440560 5803264 7254080 8704896 10881120 11606528 14508160 17409792 21762240 23213056 29016320 34819584 43524480 58032640 69639168 87048960 116065280 174097920 348195840