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338864700350 = 252111429431153
BaseRepresentation
bin1001110111001011110…
…10001111101110111110
31012101200001201100220102
410323211322033232332
521022443330402400
6415401114321102
733324245266541
oct4734572175676
91171601640812
10338864700350
1112079131a970
1255811129192
1325c54921217
1412588a22858
158c3468a9d5
hex4ee5e8fbbe

338864700350 has 48 divisors (see below), whose sum is σ = 688070045520. Its totient is φ = 123137011200.

The previous prime is 338864700337. The next prime is 338864700379. The reversal of 338864700350 is 53007468833.

It is a super-2 number, since 2×3388647003502 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 338864700295 and 338864700304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570374 + ... + 1001526.

It is an arithmetic number, because the mean of its divisors is an integer number (14334792615).

Almost surely, 2338864700350 is an apocalyptic number.

338864700350 is an abundant number, since it is smaller than the sum of its proper divisors (349205345170).

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

338864700350 is a wasteful number, since it uses less digits than its factorization.

338864700350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432605 (or 432600 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 338864700350 in words is "three hundred thirty-eight billion, eight hundred sixty-four million, seven hundred thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 1429 2858 7145 14290 15719 31438 35725 71450 78595 157190 392975 431153 785950 862306 2155765 4311530 4742683 9485366 10778825 21557650 23713415 47426830 118567075 237134150 616117637 1232235274 3080588185 6161176370 6777294007 13554588014 15402940925 30805881850 33886470035 67772940070 169432350175 338864700350