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348047316 = 223223894723
BaseRepresentation
bin10100101111101…
…100011111010100
3220020220122011100
4110233230133110
51203100003231
654311510100
711424232131
oct2457543724
9806818140
10348047316
11169511111
1298688330
1357151476
143431d588
15208501e6
hex14bec7d4

348047316 has 72 divisors (see below), whose sum is σ = 928549440. Its totient is φ = 109701504.

The previous prime is 348047309. The next prime is 348047317. The reversal of 348047316 is 613740843.

It is a super-2 number, since 2×3480473162 = 242273868349607712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348047317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71331 + ... + 76053.

It is an arithmetic number, because the mean of its divisors is an integer number (12896520).

Almost surely, 2348047316 is an apocalyptic number.

348047316 is a gapful number since it is divisible by the number (36) 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 348047316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464274720).

348047316 is an abundant number, since it is smaller than the sum of its proper divisors (580502124).

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

348047316 is a wasteful number, since it uses less digits than its factorization.

348047316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 348047316 is about 18656.0262649901. The cubic root of 348047316 is about 703.4168428553.

The spelling of 348047316 in words is "three hundred forty-eight million, forty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 138 178 207 267 276 356 414 534 801 828 1068 1602 2047 3204 4094 4723 6141 8188 9446 12282 14169 18423 18892 24564 28338 36846 42507 56676 73692 85014 108629 170028 217258 325887 420347 434516 651774 840694 977661 1261041 1303548 1681388 1955322 2522082 3783123 3910644 5044164 7566246 9667981 15132492 19335962 29003943 38671924 58007886 87011829 116015772 174023658 348047316