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348463920 = 24357415059
BaseRepresentation
bin10100110001010…
…010001100110000
3220021200210122010
4110301102030300
51203201321140
654324442520
711430615540
oct2461221460
9807623563
10348463920
11169776112
1298849440
1357268c8c
14343cb320
15208d3880
hex14c52330

348463920 has 160 divisors (see below), whose sum is σ = 1264919040. Its totient is φ = 77690880.

The previous prime is 348463919. The next prime is 348463937. The reversal of 348463920 is 29364843.

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 31 ways as a sum of consecutive naturals, for example, 66351 + ... + 71409.

It is an arithmetic number, because the mean of its divisors is an integer number (7905744).

Almost surely, 2348463920 is an apocalyptic number.

348463920 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 348463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632459520).

348463920 is an abundant number, since it is smaller than the sum of its proper divisors (916455120).

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

348463920 is a wasteful number, since it uses less digits than its factorization.

348463920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 348463920 is about 18667.1883260442. The cubic root of 348463920 is about 703.6973884512.

The spelling of 348463920 in words is "three hundred forty-eight million, four hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5059 5740 6888 8610 9840 10118 11480 13776 15177 17220 20236 22960 25295 30354 34440 35413 40472 50590 60708 68880 70826 75885 80944 101180 106239 121416 141652 151770 177065 202360 207419 212478 242832 283304 303540 354130 404720 414838 424956 531195 566608 607080 622257 708260 829676 849912 1037095 1062390 1214160 1244514 1416520 1451933 1659352 1699824 2074190 2124780 2489028 2833040 2903866 3111285 3318704 4148380 4249560 4355799 4978056 5807732 6222570 7259665 8296760 8499120 8711598 9956112 11615464 12445140 14519330 16593520 17423196 21778995 23230928 24890280 29038660 34846392 43557990 49780560 58077320 69692784 87115980 116154640 174231960 348463920