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380427630340 = 225193895694523
BaseRepresentation
bin1011000100100110100…
…00001111011100000100
31100100221122200222021211
411202103100033130010
522213103433132330
6450433244221204
736325231334542
oct5422320173404
91310848628254
10380427630340
1113737a53038a
126189053a804
1329b4972a514
14145ac9d4d92
159d6849cd2a
hex589340f704

380427630340 has 96 divisors (see below), whose sum is σ = 844775568000. Its totient is φ = 143507008512.

The previous prime is 380427630313. The next prime is 380427630361. The reversal of 380427630340 is 43036724083.

It is a super-2 number, since 2×3804276303402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380427630293 and 380427630302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84107319 + ... + 84111841.

It is an arithmetic number, because the mean of its divisors is an integer number (8799745500).

Almost surely, 2380427630340 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 380427630340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422387784000).

380427630340 is an abundant number, since it is smaller than the sum of its proper divisors (464347937660).

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

380427630340 is a wasteful number, since it uses less digits than its factorization.

380427630340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 380427630340 in words is "three hundred eighty billion, four hundred twenty-seven million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 389 569 778 1138 1556 1945 2276 2845 3890 4523 5690 7391 7780 9046 10811 11380 14782 18092 21622 22615 29564 36955 43244 45230 54055 73910 85937 90460 108110 147820 171874 216220 221341 343748 429685 442682 859370 885364 1106705 1718740 1759447 2213410 2573587 3518894 4205479 4426820 5147174 7037788 8410958 8797235 10294348 12867935 16821916 17594470 21027395 25735870 33429493 35188940 42054790 48898153 51471740 66858986 84109580 97796306 133717972 167147465 195592612 244490765 334294930 488981530 668589860 977963060 1001125343 2002250686 4004501372 5005626715 10011253430 19021381517 20022506860 38042763034 76085526068 95106907585 190213815170 380427630340