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1334442000 = 24353376011
BaseRepresentation
bin100111110001001…
…1111100000010000
310102222222200021210
41033202133200100
510213104121000
6340225420120
745032366313
oct11742374020
93388880253
101334442000
11625292031
12312a9a640
13183606a68
14c932897a
157c245350
hex4f89f810

1334442000 has 160 divisors (see below), whose sum is σ = 4419252864. Its totient is φ = 346176000.

The previous prime is 1334441993. The next prime is 1334442023. The reversal of 1334442000 is 2444331.

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, 218995 + ... + 225005.

Almost surely, 21334442000 is an apocalyptic number.

1334442000 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 1334442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209626432).

1334442000 is an abundant number, since it is smaller than the sum of its proper divisors (3084810864).

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

1334442000 is a wasteful number, since it uses less digits than its factorization.

1334442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1334442000 is about 36530.0150561152. The cubic root of 1334442000 is about 1100.9473931741.

Adding to 1334442000 its reverse (2444331), we get a palindrome (1336886331).

The spelling of 1334442000 in words is "one billion, three hundred thirty-four million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 6011 7400 8880 9250 11100 12022 13875 14800 18033 18500 22200 24044 27750 30055 36066 37000 44400 48088 55500 60110 72132 74000 90165 96176 111000 120220 144264 150275 180330 222000 222407 240440 288528 300550 360660 444814 450825 480880 601100 667221 721320 751375 889628 901650 1112035 1202200 1334442 1442640 1502750 1779256 1803300 2224070 2254125 2404400 2668884 3005500 3336105 3558512 3606600 4448140 4508250 5337768 5560175 6011000 6672210 7213200 8896280 9016500 10675536 11120350 12022000 13344420 16680525 17792560 18033000 22240700 26688840 27800875 33361050 36066000 44481400 53377680 55601750 66722100 83402625 88962800 111203500 133444200 166805250 222407000 266888400 333610500 444814000 667221000 1334442000