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1340231000 = 235361127173
BaseRepresentation
bin100111111100010…
…0100110101011000
310110101212210022012
41033320210311120
510221044343000
6340553445052
745132530003
oct11770446530
93411783265
101340231000
11628586429
12314a10788
131848829c4
14c9dd453a
157c9da735
hex4fe24d58

1340231000 has 128 divisors (see below), whose sum is σ = 3231221760. Its totient is φ = 520128000.

The previous prime is 1340230951. The next prime is 1340231033. The reversal of 1340231000 is 1320431.

It is a super-2 number, since 2×13402310002 = 3592438266722000000, which contains 22 as substring.

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, 7746914 + ... + 7747086.

It is an arithmetic number, because the mean of its divisors is an integer number (25243920).

Almost surely, 21340231000 is an apocalyptic number.

1340231000 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 1340231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615610880).

1340231000 is an abundant number, since it is smaller than the sum of its proper divisors (1890990760).

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

1340231000 is a wasteful number, since it uses less digits than its factorization.

1340231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1340231000 is about 36609.1655190336. The cubic root of 1340231000 is about 1102.5371189145.

Adding to 1340231000 its reverse (1320431), we get a palindrome (1341551431).

The spelling of 1340231000 in words is "one billion, three hundred forty million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 127 173 200 244 250 254 305 346 488 500 508 610 635 692 865 1000 1016 1220 1270 1384 1525 1730 2440 2540 3050 3175 3460 4325 5080 6100 6350 6920 7625 7747 8650 10553 12200 12700 15250 15494 15875 17300 21106 21625 21971 25400 30500 30988 31750 34600 38735 42212 43250 43942 52765 61000 61976 63500 77470 84424 86500 87884 105530 109855 127000 154940 173000 175768 193675 211060 219710 263825 309880 387350 422120 439420 527650 549275 774700 878840 968375 1055300 1098550 1319125 1340231 1549400 1936750 2110600 2197100 2638250 2680462 2746375 3873500 4394200 5276500 5360924 5492750 6701155 7747000 10553000 10721848 10985500 13402310 21971000 26804620 33505775 53609240 67011550 134023100 167528875 268046200 335057750 670115500 1340231000