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1000024340 = 2257219431249
BaseRepresentation
bin111011100110110…
…010100100010100
32120200201111111112
4323212302210110
54022001234330
6243121554152
733532031600
oct7346624424
92520644445
101000024340
114735400a7
1223aaa5958
1312c2482a3
1496b56500
155cbd8795
hex3b9b2914

1000024340 has 144 divisors (see below), whose sum is σ = 2633400000. Its totient is φ = 317011968.

The previous prime is 1000024339. The next prime is 1000024343. The reversal of 1000024340 is 434200001.

1000024340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000024343) 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, 800036 + ... + 801284.

It is an arithmetic number, because the mean of its divisors is an integer number (18287500).

Almost surely, 21000024340 is an apocalyptic number.

1000024340 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 1000024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316700000).

1000024340 is an abundant number, since it is smaller than the sum of its proper divisors (1633375660).

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

1000024340 is a wasteful number, since it uses less digits than its factorization.

1000024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1000024340 is about 31623.1614485333. The cubic root of 1000024340 is about 1000.0081132675.

Adding to 1000024340 its reverse (434200001), we get a palindrome (1434224341).

The spelling of 1000024340 in words is "one billion, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 49 70 76 86 95 98 133 140 172 190 196 215 245 266 301 380 430 490 532 602 665 817 860 931 980 1204 1249 1330 1505 1634 1862 2107 2498 2660 3010 3268 3724 4085 4214 4655 4996 5719 6020 6245 8170 8428 8743 9310 10535 11438 12490 16340 17486 18620 21070 22876 23731 24980 28595 34972 40033 42140 43715 47462 53707 57190 61201 80066 87430 94924 107414 114380 118655 122402 160132 166117 174860 200165 214828 237310 244804 268535 306005 332234 375949 400330 474620 537070 612010 664468 751898 800660 830585 1020433 1074140 1162819 1224020 1503796 1661170 1879745 2040866 2325638 2631643 3322340 3759490 4081732 4651276 5102165 5263286 5814095 7143031 7518980 10204330 10526572 11628190 13158215 14286062 20408660 23256380 26316430 28572124 35715155 50001217 52632860 71430310 100002434 142860620 200004868 250006085 500012170 1000024340