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41320704 = 283173311
BaseRepresentation
bin1001110110100…
…0000100000000
32212202022100110
42131220010000
541034230304
64033351320
71011135345
oct235500400
985668313
1041320704
1121362947
1211a08540
138739a29
1456b87cc
153963289
hex2768100

41320704 has 72 divisors (see below), whose sum is σ = 110964672. Its totient is φ = 13649920.

The previous prime is 41320703. The next prime is 41320711. The reversal of 41320704 is 40702314.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41320703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132709 + ... + 133019.

It is an arithmetic number, because the mean of its divisors is an integer number (1541176).

Almost surely, 241320704 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 41320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55482336).

41320704 is an abundant number, since it is smaller than the sum of its proper divisors (69643968).

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

41320704 is a wasteful number, since it uses less digits than its factorization.

41320704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 41320704 is about 6428.1182316445. The cubic root of 41320704 is about 345.7184607625.

It can be divided in two parts, 41320 and 704, that added together give a palindrome (42024).

The spelling of 41320704 in words is "forty-one million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 311 346 384 519 622 692 768 933 1038 1244 1384 1866 2076 2488 2768 3732 4152 4976 5536 7464 8304 9952 11072 14928 16608 19904 22144 29856 33216 39808 44288 53803 59712 66432 79616 107606 119424 132864 161409 215212 238848 322818 430424 645636 860848 1291272 1721696 2582544 3443392 5165088 6886784 10330176 13773568 20660352 41320704