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1342320 = 243571747
BaseRepresentation
bin101000111101101110000
32112012022120
411013231300
5320423240
644434240
714260320
oct5075560
92465276
101342320
11837561
12548980
1337cc95
1426d280
151b7ad0
hex147b70

1342320 has 160 divisors (see below), whose sum is σ = 5142528. Its totient is φ = 282624.

The previous prime is 1342291. The next prime is 1342333. The reversal of 1342320 is 232431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1342320.

It is a congruent number.

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, 28537 + ... + 28583.

21342320 is an apocalyptic number.

1342320 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 1342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264).

1342320 is an abundant number, since it is smaller than the sum of its proper divisors (3800208).

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

1342320 is a wasteful number, since it uses less digits than its factorization.

1342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1342320 is about 1158.5853442885. The cubic root of 1342320 is about 110.3109658131.

Adding to 1342320 its reverse (232431), we get a palindrome (1574751).

The spelling of 1342320 in words is "one million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 47 48 51 56 60 68 70 80 84 85 94 102 105 112 119 120 136 140 141 168 170 188 204 210 235 238 240 255 272 280 282 329 336 340 357 376 408 420 470 476 510 560 564 595 658 680 705 714 752 799 816 840 940 952 987 1020 1128 1190 1316 1360 1410 1428 1598 1645 1680 1785 1880 1904 1974 2040 2256 2380 2397 2632 2820 2856 3196 3290 3570 3760 3948 3995 4080 4760 4794 4935 5264 5593 5640 5712 6392 6580 7140 7896 7990 9520 9588 9870 11186 11280 11985 12784 13160 14280 15792 15980 16779 19176 19740 22372 23970 26320 27965 28560 31960 33558 38352 39480 44744 47940 55930 63920 67116 78960 83895 89488 95880 111860 134232 167790 191760 223720 268464 335580 447440 671160 1342320