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345706126248 = 233716981121181
BaseRepresentation
bin1010000011111011011…
…00001101101110101000
31020001022212001210220210
411001331230031232220
521131001232014443
6422452030021120
733655630405620
oct5017554155650
91201285053823
10345706126248
1112368210645a
12570003477a0
13267a5115722
1412a374a1880
158ed50cec33
hex507db0dba8

345706126248 has 64 divisors (see below), whose sum is σ = 987798107520. Its totient is φ = 98766547200.

The previous prime is 345706126163. The next prime is 345706126261. The reversal of 345706126248 is 842621607543.

345706126248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3457061262482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345706126197 and 345706126206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792218 + ... + 2913398.

It is an arithmetic number, because the mean of its divisors is an integer number (15434345430).

Almost surely, 2345706126248 is an apocalyptic number.

It is an amenable number.

345706126248 is an abundant number, since it is smaller than the sum of its proper divisors (642091981272).

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

345706126248 is a wasteful number, since it uses less digits than its factorization.

345706126248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138178 (or 138174 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 345706126248 in words is "three hundred forty-five billion, seven hundred six million, one hundred twenty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 16981 33962 50943 67924 101886 118867 121181 135848 203772 237734 242362 356601 363543 407544 475468 484724 713202 727086 848267 950936 969448 1426404 1454172 1696534 2544801 2852808 2908344 3393068 5089602 6786136 10179204 20358408 2057774561 4115549122 6173323683 8231098244 12346647366 14404421927 16462196488 24693294732 28808843854 43213265781 49386589464 57617687708 86426531562 115235375416 172853063124 345706126248