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441040680 = 23335439497
BaseRepresentation
bin11010010010011…
…011111100101000
31010201220012002000
4122102123330220
51400401300210
6111433011000
713633532613
oct3222337450
91121805060
10441040680
11206a57433
12103853a60
13704b0a22
144280917a
1528abdac0
hex1a49bf28

441040680 has 128 divisors (see below), whose sum is σ = 1504483200. Its totient is φ = 114863616.

The previous prime is 441040679. The next prime is 441040693. The reversal of 441040680 is 86040144.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 41692 + ... + 51188.

It is an arithmetic number, because the mean of its divisors is an integer number (11753775).

Almost surely, 2441040680 is an apocalyptic number.

441040680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752241600).

441040680 is an abundant number, since it is smaller than the sum of its proper divisors (1063442520).

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

441040680 is a wasteful number, since it uses less digits than its factorization.

441040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441040680 is about 21000.9685490932. The cubic root of 441040680 is about 761.1896649504.

The spelling of 441040680 in words is "four hundred forty-one million, forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 9497 11610 15480 18994 23220 28491 37988 46440 47485 56982 75976 85473 94970 113964 142455 170946 189940 227928 256419 284910 341892 379880 408371 427365 512838 569820 683784 816742 854730 1025676 1139640 1225113 1282095 1633484 1709460 2041855 2051352 2450226 2564190 3266968 3418920 3675339 4083710 4900452 5128380 6125565 7350678 8167420 9800904 10256760 11026017 12251130 14701356 16334840 18376695 22052034 24502260 29402712 36753390 44104068 49004520 55130085 73506780 88208136 110260170 147013560 220520340 441040680