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348201984 = 2103138719
BaseRepresentation
bin10100110000010…
…010010000000000
3220021012111022210
4110300102100000
51203114430414
654315102120
711425445064
oct2460222000
9807174283
10348201984
11169607339
1298741940
13571a69a0
143435daa4
1520880e59
hex14c12400

348201984 has 88 divisors (see below), whose sum is σ = 999591040. Its totient is φ = 107126784.

The previous prime is 348201983. The next prime is 348202027. The reversal of 348201984 is 489102843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (348201983) 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, 35577 + ... + 44295.

Almost surely, 2348201984 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 348201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499795520).

348201984 is an abundant number, since it is smaller than the sum of its proper divisors (651389056).

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

348201984 is a wasteful number, since it uses less digits than its factorization.

348201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 348201984 is about 18660.1710603092. The cubic root of 348201984 is about 703.5210240584.

The spelling of 348201984 in words is "three hundred forty-eight million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 8719 9984 13312 17438 19968 26157 34876 39936 52314 69752 104628 113347 139504 209256 226694 279008 340041 418512 453388 558016 680082 837024 906776 1116032 1360164 1674048 1813552 2232064 2720328 3348096 3627104 4464128 5440656 6696192 7254208 8928256 10881312 13392384 14508416 21762624 26784768 29016832 43525248 58033664 87050496 116067328 174100992 348201984