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348080000 = 275419229
BaseRepresentation
bin10100101111110…
…100011110000000
3220020222021222212
4110233310132000
51203102030000
654312321252
711424426332
oct2457643600
9806867885
10348080000
11169533724
12986a3228
13571632c8
143432b452
1520859c35
hex14bf4780

348080000 has 160 divisors (see below), whose sum is σ = 916113000. Its totient is φ = 131328000.

The previous prime is 348079993. The next prime is 348080003. The reversal of 348080000 is 80843.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348080003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519886 + ... + 1520114.

Almost surely, 2348080000 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 348080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458056500).

348080000 is an abundant number, since it is smaller than the sum of its proper divisors (568033000).

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

348080000 is an equidigital number, since it uses as much as digits as its factorization.

348080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 348080000 is about 18656.9022080301. The cubic root of 348080000 is about 703.4388607012.

The spelling of 348080000 in words is "three hundred forty-eight million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 229 250 304 320 380 400 458 475 500 608 625 640 760 800 916 950 1000 1145 1216 1250 1520 1600 1832 1900 2000 2290 2375 2432 2500 3040 3200 3664 3800 4000 4351 4580 4750 5000 5725 6080 7328 7600 8000 8702 9160 9500 10000 11450 11875 12160 14656 15200 16000 17404 18320 19000 20000 21755 22900 23750 28625 29312 30400 34808 36640 38000 40000 43510 45800 47500 57250 60800 69616 73280 76000 80000 87020 91600 95000 108775 114500 139232 143125 146560 152000 174040 183200 190000 217550 229000 278464 286250 304000 348080 366400 380000 435100 458000 543875 556928 572500 696160 732800 760000 870200 916000 1087750 1145000 1392320 1520000 1740400 1832000 2175500 2290000 2719375 2784640 3480800 3664000 4351000 4580000 5438750 6961600 8702000 9160000 10877500 13923200 17404000 18320000 21755000 34808000 43510000 69616000 87020000 174040000 348080000