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348138056808 = 23331794808839
BaseRepresentation
bin1010001000011101010…
…01010010110001101000
31020021121100011200111000
411010032221102301220
521200441320304213
6423533222435000
734103120441313
oct5041651226150
91207540150430
10348138056808
1112470a947923
125757a892a60
1326aa1c00ca9
1412bc847397a
1590c8861c73
hex510ea52c68

348138056808 has 64 divisors (see below), whose sum is σ = 1023935472000. Its totient is φ = 109219781376.

The previous prime is 348138056801. The next prime is 348138056831. The reversal of 348138056808 is 808650831843.

348138056808 is a `hidden beast` number, since 3 + 48 + 1 + 38 + 0 + 568 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (348138056801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47400748 + ... + 47408091.

It is an arithmetic number, because the mean of its divisors is an integer number (15998991750).

Almost surely, 2348138056808 is an apocalyptic number.

It is an amenable number.

348138056808 is an abundant number, since it is smaller than the sum of its proper divisors (675797415192).

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

348138056808 is a wasteful number, since it uses less digits than its factorization.

348138056808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94808871 (or 94808861 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 348138056808 in words is "three hundred forty-eight billion, one hundred thirty-eight million, fifty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 94808839 189617678 284426517 379235356 568853034 758470712 853279551 1137706068 1611750263 1706559102 2275412136 2559838653 3223500526 3413118204 4835250789 5119677306 6447001052 6826236408 9670501578 10239354612 12894002104 14505752367 19341003156 20478709224 29011504734 38682006312 43517257101 58023009468 87034514202 116046018936 174069028404 348138056808