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348221088 = 25322395059
BaseRepresentation
bin10100110000010…
…110111010100000
3220021020110112100
4110300112322200
51203121033323
654315330400
711425554555
oct2460267240
9807213470
10348221088
1116961a726
1298750a00
13571b25a7
1434366a2c
1520886943
hex14c16ea0

348221088 has 72 divisors (see below), whose sum is σ = 994593600. Its totient is φ = 115565184.

The previous prime is 348221057. The next prime is 348221099. The reversal of 348221088 is 880122843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3482210882 = 242515852255807488, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66303 + ... + 71361.

It is an arithmetic number, because the mean of its divisors is an integer number (13813800).

Almost surely, 2348221088 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 348221088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497296800).

348221088 is an abundant number, since it is smaller than the sum of its proper divisors (646372512).

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

348221088 is a wasteful number, since it uses less digits than its factorization.

348221088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 348221088 is about 18660.6829457016. The cubic root of 348221088 is about 703.5338899815.

The spelling of 348221088 in words is "three hundred forty-eight million, two hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 239 288 478 717 956 1434 1912 2151 2868 3824 4302 5059 5736 7648 8604 10118 11472 15177 17208 20236 22944 30354 34416 40472 45531 60708 68832 80944 91062 121416 161888 182124 242832 364248 485664 728496 1209101 1456992 2418202 3627303 4836404 7254606 9672808 10881909 14509212 19345616 21763818 29018424 38691232 43527636 58036848 87055272 116073696 174110544 348221088