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41434968 = 23329371609
BaseRepresentation
bin1001111000001…
…1111101011000
32212222010002110
42132003331120
541101404333
64040032320
71012122441
oct236037530
985863073
1041434968
1121430783
1211a626a0
138779a43
1457082c8
153987063
hex2783f58

41434968 has 64 divisors (see below), whose sum is σ = 110124000. Its totient is φ = 12966912.

The previous prime is 41434957. The next prime is 41434979. The reversal of 41434968 is 86943414.

It is a happy number.

It is a Cunningham number, because it is equal to 64372-1.

It is an interprime number because it is at equal distance from previous prime (41434957) and next prime (41434979).

It is a super-2 number, since 2×414349682 = 3433713146322048, which contains 22 as substring.

It is a congruent number.

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, 24948 + ... + 26556.

Almost surely, 241434968 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 41434968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062000).

41434968 is an abundant number, since it is smaller than the sum of its proper divisors (68689032).

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

41434968 is a wasteful number, since it uses less digits than its factorization.

41434968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1680 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 41434968 is about 6436.9999223241. Note that the first 4 decimals coincide. The cubic root of 41434968 is about 346.0368388277.

The spelling of 41434968 in words is "forty-one million, four hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 1609 2146 3218 3219 4292 4827 6436 6438 8584 9654 12872 12876 19308 25752 38616 46661 59533 93322 119066 139983 178599 186644 238132 279966 357198 373288 476264 559932 714396 1119864 1428792 1726457 3452914 5179371 6905828 10358742 13811656 20717484 41434968