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440388990 = 232567199367
BaseRepresentation
bin11010001111111…
…100110101111110
31010200200002010100
4122033330311332
51400214421430
6111411021530
713625146626
oct3217746576
91120602110
10440388990
11206651848
1210359a8a6
1370313202
14426b9886
15289e0960
hex1a3fcd7e

440388990 has 96 divisors (see below), whose sum is σ = 1171123200. Its totient is φ = 114789312.

The previous prime is 440388989. The next prime is 440388997. The reversal of 440388990 is 99883044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440388997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199787 + ... + 1200153.

It is an arithmetic number, because the mean of its divisors is an integer number (12199200).

Almost surely, 2440388990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440388990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585561600).

440388990 is an abundant number, since it is smaller than the sum of its proper divisors (730734210).

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

440388990 is a wasteful number, since it uses less digits than its factorization.

440388990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 440388990 is about 20985.4471003122. The cubic root of 440388990 is about 760.8145640848.

The spelling of 440388990 in words is "four hundred forty million, three hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 199 201 335 367 398 402 597 603 670 734 995 1005 1101 1194 1206 1791 1835 1990 2010 2202 2985 3015 3303 3582 3670 5505 5970 6030 6606 8955 11010 13333 16515 17910 24589 26666 33030 39999 49178 66665 73033 73767 79998 119997 122945 133330 146066 147534 199995 219099 221301 239994 245890 365165 368835 399990 438198 442602 599985 657297 730330 737670 1095495 1106505 1199970 1314594 2190990 2213010 3286485 4893211 6572970 9786422 14679633 24466055 29359266 44038899 48932110 73398165 88077798 146796330 220194495 440388990