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1344378288 = 2431119294621
BaseRepresentation
bin101000000100001…
…1001010110110000
310110200200111022110
41100020121112300
510223130101123
6341222405320
745213012141
oct12010312660
93420614273
101344378288
1162a959340
12316290840
131856a5616
14ca793ac8
157d059493
hex502195b0

1344378288 has 160 divisors (see below), whose sum is σ = 4126521600. Its totient is φ = 372556800.

The previous prime is 1344378257. The next prime is 1344378311. The reversal of 1344378288 is 8828734431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288618 + ... + 293238.

It is an arithmetic number, because the mean of its divisors is an integer number (25790760).

Almost surely, 21344378288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344378288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063260800).

1344378288 is an abundant number, since it is smaller than the sum of its proper divisors (2782143312).

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

1344378288 is a wasteful number, since it uses less digits than its factorization.

1344378288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 1344378288 is about 36665.7645222352. The cubic root of 1344378288 is about 1103.6731993229.

The spelling of 1344378288 in words is "one billion, three hundred forty-four million, three hundred seventy-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 29 33 38 44 48 57 58 66 76 87 88 114 116 132 152 174 176 209 228 232 264 304 319 348 418 456 464 528 551 627 638 696 836 912 957 1102 1254 1276 1392 1653 1672 1914 2204 2508 2552 3306 3344 3828 4408 4621 5016 5104 6061 6612 7656 8816 9242 10032 12122 13224 13863 15312 18183 18484 24244 26448 27726 36366 36968 48488 50831 55452 72732 73936 87799 96976 101662 110904 134009 145464 152493 175598 203324 221808 263397 268018 290928 304986 351196 402027 406648 526794 536036 609972 702392 804054 813296 965789 1053588 1072072 1219944 1404784 1474099 1608108 1931578 2107176 2144144 2439888 2546171 2897367 2948198 3216216 3863156 4214352 4422297 5092342 5794734 5896396 6432432 7638513 7726312 8844594 10184684 11589468 11792792 15277026 15452624 17689188 20369368 23178936 23585584 28007881 30554052 35378376 40738736 46357872 56015762 61108104 70756752 84023643 112031524 122216208 168047286 224063048 336094572 448126096 672189144 1344378288