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95434440 = 23354716921
BaseRepresentation
bin1011011000000…
…11011011001000
320122120120102220
411230003123020
5143412400230
613245254040
72236115343
oct554033310
9218516386
1095434440
1149963342
1227b64320
1316a056aa
14c96345a
1585a1d10
hex5b036c8

95434440 has 64 divisors (see below), whose sum is σ = 292412160. Its totient is φ = 24906240.

The previous prime is 95434421. The next prime is 95434453. The reversal of 95434440 is 4443459.

It is a super-2 number, since 2×954344402 = 18215464676227200, which contains 22 as substring.

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, 2821 + ... + 14100.

It is an arithmetic number, because the mean of its divisors is an integer number (4568940).

Almost surely, 295434440 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 95434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146206080).

95434440 is an abundant number, since it is smaller than the sum of its proper divisors (196977720).

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

95434440 is a wasteful number, since it uses less digits than its factorization.

95434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16978 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 95434440 is about 9769.0552255579. The cubic root of 95434440 is about 456.9847524308.

Adding to 95434440 its reverse (4443459), we get a palindrome (99877899).

The spelling of 95434440 in words is "ninety-five million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 16921 33842 50763 67684 84605 101526 135368 169210 203052 253815 338420 406104 507630 676840 795287 1015260 1590574 2030520 2385861 3181148 3976435 4771722 6362296 7952870 9543444 11929305 15905740 19086888 23858610 31811480 47717220 95434440