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1000423440 = 243352915971
BaseRepresentation
bin111011101000010…
…100000000010000
32120201110202222000
4323220110000100
54022102022230
6243134314000
733535313262
oct7350240020
92521422860
101000423440
11473792a35
1223b058900
1312c357b43
1496c1bb32
155cc66b60
hex3ba14010

1000423440 has 160 divisors (see below), whose sum is σ = 3564950400. Its totient is φ = 257564160.

The previous prime is 1000423439. The next prime is 1000423451. The reversal of 1000423440 is 443240001.

It is a super-4 number, since 4×10004234404 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 54655 + ... + 70625.

It is an arithmetic number, because the mean of its divisors is an integer number (22280940).

Almost surely, 21000423440 is an apocalyptic number.

1000423440 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 1000423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782475200).

1000423440 is an abundant number, since it is smaller than the sum of its proper divisors (2564526960).

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

1000423440 is a wasteful number, since it uses less digits than its factorization.

1000423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16022 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1000423440 is about 31629.4710673448. The cubic root of 1000423440 is about 1000.1411267490.

Adding to 1000423440 its reverse (443240001), we get a palindrome (1443663441).

The spelling of 1000423440 in words is "one billion, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3915 4176 5220 6264 6960 7830 10440 12528 15660 15971 20880 31320 31942 47913 62640 63884 79855 95826 127768 143739 159710 191652 239565 255536 287478 319420 383304 431217 463159 479130 574956 638840 718695 766608 862434 926318 958260 1149912 1277680 1389477 1437390 1724868 1852636 1916520 2156085 2299824 2315795 2778954 2874780 3449736 3705272 3833040 4168431 4312170 4631590 5557908 5749560 6899472 6947385 7410544 8336862 8624340 9263180 11115816 11499120 12505293 13894770 16673724 17248680 18526360 20842155 22231632 25010586 27789540 33347448 34497360 37052720 41684310 50021172 55579080 62526465 66694896 83368620 100042344 111158160 125052930 166737240 200084688 250105860 333474480 500211720 1000423440