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1144433340 = 223355773673
BaseRepresentation
bin100010000110110…
…1010101010111100
32221202110020102000
41010031222222330
54320433331330
6305321102300
740234344231
oct10415525274
92852406360
101144433340
11538003786
1227b327990
1315313a3bb
14abdc7788
156a711560
hex4436aabc

1144433340 has 96 divisors (see below), whose sum is σ = 3567600960. Its totient is φ = 304570368.

The previous prime is 1144433321. The next prime is 1144433359. The reversal of 1144433340 is 433344411.

It is an interprime number because it is at equal distance from previous prime (1144433321) and next prime (1144433359).

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

It is a congruent number.

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, 309744 + ... + 313416.

It is an arithmetic number, because the mean of its divisors is an integer number (37162510).

Almost surely, 21144433340 is an apocalyptic number.

1144433340 is a gapful number since it is divisible by the number (10) 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 1144433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783800480).

1144433340 is an abundant number, since it is smaller than the sum of its proper divisors (2423167620).

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

1144433340 is a wasteful number, since it uses less digits than its factorization.

1144433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1144433340 is about 33829.4744268958. The cubic root of 1144433340 is about 1045.9963452864.

Adding to 1144433340 its reverse (433344411), we get a palindrome (1577777751).

The spelling of 1144433340 in words is "one billion, one hundred forty-four million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 577 1154 1731 2308 2885 3462 3673 5193 5770 6924 7346 8655 10386 11019 11540 14692 15579 17310 18365 20772 22038 25965 31158 33057 34620 36730 44076 51930 55095 62316 66114 73460 77895 99171 103860 110190 132228 155790 165285 198342 220380 311580 330570 396684 495855 661140 991710 1983420 2119321 4238642 6357963 8477284 10596605 12715926 19073889 21193210 25431852 31789815 38147778 42386420 57221667 63579630 76295556 95369445 114443334 127159260 190738890 228886668 286108335 381477780 572216670 1144433340