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441274416 = 2431136907
BaseRepresentation
bin11010010011010…
…101000000110000
31010202100001200220
4122103111000300
51400431240131
6111442013040
713635525222
oct3223250060
91122301626
10441274416
112070a7000
12103947180
137056322b
144286a412
1528b17e96
hex1a4d5030

441274416 has 80 divisors (see below), whose sum is σ = 1254050688. Its totient is φ = 133700160.

The previous prime is 441274409. The next prime is 441274433. The reversal of 441274416 is 614472144.

It is a super-2 number, since 2×4412744162 = 389446220432282112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60435 + ... + 67341.

Almost surely, 2441274416 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 441274416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627025344).

441274416 is an abundant number, since it is smaller than the sum of its proper divisors (812776272).

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

441274416 is a wasteful number, since it uses less digits than its factorization.

441274416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6923 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 441274416 is about 21006.5326981870. The cubic root of 441274416 is about 761.3241090920.

The spelling of 441274416 in words is "four hundred forty-one million, two hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1936 2662 2904 3993 5324 5808 6907 7986 10648 13814 15972 20721 21296 27628 31944 41442 55256 63888 75977 82884 110512 151954 165768 227931 303908 331536 455862 607816 835747 911724 1215632 1671494 1823448 2507241 3342988 3646896 5014482 6685976 9193217 10028964 13371952 18386434 20057928 27579651 36772868 40115856 55159302 73545736 110318604 147091472 220637208 441274416