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348605952 = 293733109
BaseRepresentation
bin10100110001110…
…100111000000000
3220021222000110120
4110301310320000
51203220342302
654331500240
711432046612
oct2461647000
9807860416
10348605952
111698628a2
12988b7680
13572b8816
1434426db2
15209109bc
hex14c74e00

348605952 has 80 divisors (see below), whose sum is σ = 941732880. Its totient is φ = 114573312.

The previous prime is 348605947. The next prime is 348606007. The reversal of 348605952 is 259506843.

It is a super-2 number, since 2×3486059522 = 243052219539652608, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 110574 + ... + 113682.

It is an arithmetic number, because the mean of its divisors is an integer number (11771661).

Almost surely, 2348605952 is an apocalyptic number.

348605952 is a gapful number since it is divisible by the number (32) 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 348605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470866440).

348605952 is an abundant number, since it is smaller than the sum of its proper divisors (593126928).

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

348605952 is an equidigital number, since it uses as much as digits as its factorization.

348605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 348605952 is about 18670.9922607236. The cubic root of 348605952 is about 703.7929832082.

The spelling of 348605952 in words is "three hundred forty-eight million, six hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1168 1536 1752 2336 3109 3504 4672 6218 7008 9327 9344 12436 14016 18654 18688 24872 28032 37308 37376 49744 56064 74616 99488 112128 149232 198976 226957 298464 397952 453914 596928 680871 795904 907828 1193856 1361742 1591808 1815656 2387712 2723484 3631312 4775424 5446968 7262624 10893936 14525248 21787872 29050496 43575744 58100992 87151488 116201984 174302976 348605952