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293399442 = 23371097121
BaseRepresentation
bin10001011111001…
…110101110010010
3202110002020101000
4101133032232102
51100102240232
645040322430
710161565650
oct2137165622
9673066330
10293399442
11140686386
1282313416
1348a2964b
142ad75dd0
151ab5827c
hex117ceb92

293399442 has 64 divisors (see below), whose sum is σ = 752083200. Its totient is φ = 83047680.

The previous prime is 293399419. The next prime is 293399453. The reversal of 293399442 is 244993392.

It is a happy number.

It is a super-2 number, since 2×2933994422 = 172166465131822728, which contains 22 as substring.

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, 37642 + ... + 44762.

It is an arithmetic number, because the mean of its divisors is an integer number (11751300).

Almost surely, 2293399442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293399442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376041600).

293399442 is an abundant number, since it is smaller than the sum of its proper divisors (458683758).

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

293399442 is a wasteful number, since it uses less digits than its factorization.

293399442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7242 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 293399442 is about 17128.9066200969. The cubic root of 293399442 is about 664.4869066817.

It can be divided in two parts, 29339 and 9442, that added together give a triangular number (38781 = T278).

The spelling of 293399442 in words is "two hundred ninety-three million, three hundred ninety-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 4578 5886 6867 7121 13734 14242 20601 21363 41202 42726 49847 64089 99694 128178 149541 192267 299082 384534 448623 776189 897246 1345869 1552378 2328567 2691738 4657134 5433323 6985701 10866646 13971402 16299969 20957103 32599938 41914206 48899907 97799814 146699721 293399442