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4401034000 = 245311251797
BaseRepresentation
bin1000001100101001…
…00111001100010000
3102100201022200200021
410012110213030100
533003131042000
62004413233224
7214030112626
oct40624471420
912321280607
104401034000
1119592a5a90
12a29a92814
13551a3583c
142da707516
151ab59011a
hex106527310

4401034000 has 160 divisors (see below), whose sum is σ = 11670003072. Its totient is φ = 1592000000.

The previous prime is 4401033977. The next prime is 4401034003. The reversal of 4401034000 is 4301044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4401034003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5521602 + ... + 5522398.

Almost surely, 24401034000 is an apocalyptic number.

4401034000 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 4401034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

4401034000 is an abundant number, since it is smaller than the sum of its proper divisors (7268969072).

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

4401034000 is a wasteful number, since it uses less digits than its factorization.

4401034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4401034000 is about 66340.2894175176. The cubic root of 4401034000 is about 1638.7708914801.

Adding to 4401034000 its reverse (4301044), we get a palindrome (4405335044).

The spelling of 4401034000 in words is "four billion, four hundred one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 251 275 400 440 500 502 550 797 880 1000 1004 1100 1255 1375 1594 2000 2008 2200 2510 2750 2761 3188 3985 4016 4400 5020 5500 5522 6275 6376 7970 8767 10040 11000 11044 12550 12752 13805 15940 17534 19925 20080 22000 22088 25100 27610 31375 31880 35068 39850 43835 44176 50200 55220 62750 63760 69025 70136 79700 87670 99625 100400 110440 125500 138050 140272 159400 175340 199250 200047 219175 220880 251000 276100 318800 345125 350680 398500 400094 438350 502000 552200 690250 701360 797000 800188 876700 1000235 1095875 1104400 1380500 1594000 1600376 1753400 2000470 2191750 2200517 2761000 3200752 3506800 4000940 4383500 4401034 5001175 5522000 8001880 8767000 8802068 10002350 11002585 16003760 17534000 17604136 20004700 22005170 25005875 35208272 40009400 44010340 50011750 55012925 80018800 88020680 100023500 110025850 176041360 200047000 220051700 275064625 400094000 440103400 550129250 880206800 1100258500 2200517000 4401034000