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348119808 = 283974673
BaseRepresentation
bin10100101111111…
…110001100000000
3220021001022121020
4110233332030000
51203104313213
654313225440
711424653361
oct2457761400
9807038536
10348119808
11169560623
1298702280
135717846a
143433bb68
1520866923
hex14bfe300

348119808 has 72 divisors (see below), whose sum is σ = 936258288. Its totient is φ = 114819072.

The previous prime is 348119803. The next prime is 348119809. The reversal of 348119808 is 808911843.

It is a self number, because there is not a number n which added to its sum of digits gives 348119808.

It is not an unprimeable number, because it can be changed into a prime (348119803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72160 + ... + 76832.

Almost surely, 2348119808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468129144).

348119808 is an abundant number, since it is smaller than the sum of its proper divisors (588138480).

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

348119808 is an equidigital number, since it uses as much as digits as its factorization.

348119808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 348119808 is about 18657.9690213056. The cubic root of 348119808 is about 703.4656758267.

The spelling of 348119808 in words is "three hundred forty-eight million, one hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 582 768 776 1164 1552 2328 3104 4656 4673 6208 9312 9346 12416 14019 18624 18692 24832 28038 37248 37384 56076 74496 74768 112152 149536 224304 299072 448608 453281 598144 897216 906562 1196288 1359843 1794432 1813124 2719686 3588864 3626248 5439372 7252496 10878744 14504992 21757488 29009984 43514976 58019968 87029952 116039936 174059904 348119808