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1344861500 = 225317241227
BaseRepresentation
bin101000000101000…
…1111010100111100
310110201121001011012
41100022033110330
510223241032000
6341241014352
745220064003
oct12012172474
93421531135
101344861500
11630159394
123164843b8
13185814548
14ca87bc3a
157d102735
hex5028f53c

1344861500 has 144 divisors (see below), whose sum is σ = 3210296544. Its totient is φ = 491776000.

The previous prime is 1344861491. The next prime is 1344861509. The reversal of 1344861500 is 51684431.

It is an interprime number because it is at equal distance from previous prime (1344861491) and next prime (1344861509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344861509) 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, 5924387 + ... + 5924613.

It is an arithmetic number, because the mean of its divisors is an integer number (22293726).

Almost surely, 21344861500 is an apocalyptic number.

1344861500 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 1344861500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605148272).

1344861500 is an abundant number, since it is smaller than the sum of its proper divisors (1865435044).

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

1344861500 is a wasteful number, since it uses less digits than its factorization.

1344861500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1344861500 is about 36672.3533469015. The cubic root of 1344861500 is about 1103.8054151472.

The spelling of 1344861500 in words is "one billion, three hundred forty-four million, eight hundred sixty-one thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 125 164 170 205 227 250 289 340 410 425 454 500 578 697 820 850 908 1025 1135 1156 1394 1445 1700 2050 2125 2270 2788 2890 3485 3859 4100 4250 4540 5125 5675 5780 6970 7225 7718 8500 9307 10250 11350 11849 13940 14450 15436 17425 18614 19295 20500 22700 23698 28375 28900 34850 36125 37228 38590 46535 47396 56750 59245 65603 69700 72250 77180 87125 93070 96475 113500 118490 131206 144500 158219 174250 186140 192950 232675 236980 262412 296225 316438 328015 348500 385900 465350 482375 592450 632876 656030 791095 930700 964750 1163375 1184900 1312060 1481125 1582190 1640075 1929500 2326750 2689723 2962250 3164380 3280150 3955475 4653500 5379446 5924500 6560300 7910950 8200375 10758892 13448615 15821900 16400750 19777375 26897230 32801500 39554750 53794460 67243075 79109500 134486150 268972300 336215375 672430750 1344861500