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348850480 = 24511596719
BaseRepresentation
bin10100110010110…
…000100100110000
3220022102102220011
4110302300210300
51203301203410
654341024304
711434115536
oct2462604460
9808372804
10348850480
11169a0a590
12989b5094
1357372c04
143448c156
152095d18a
hex14cb0930

348850480 has 80 divisors (see below), whose sum is σ = 899942400. Its totient is φ = 124686080.

The previous prime is 348850417. The next prime is 348850487. The reversal of 348850480 is 84058843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (348850487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48561 + ... + 55279.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2348850480 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 348850480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

348850480 is an abundant number, since it is smaller than the sum of its proper divisors (551091920).

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

348850480 is a wasteful number, since it uses less digits than its factorization.

348850480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 348850480 is about 18677.5394525082. The cubic root of 348850480 is about 703.9575021695.

The spelling of 348850480 in words is "three hundred forty-eight million, eight hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 6719 10384 12980 13438 25960 26876 33595 51920 53752 67190 73909 107504 134380 147818 268760 295636 369545 396421 537520 591272 739090 792842 1182544 1478180 1585684 1982105 2956360 3171368 3964210 4360631 5912720 6342736 7928420 8721262 15856840 17442524 21803155 31713680 34885048 43606310 69770096 87212620 174425240 348850480