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1342340880 = 243519431683
BaseRepresentation
bin101000000000010…
…0111111100010000
310110112211222111220
41100000213330100
510222114402010
6341111005040
745156465156
oct12000477420
93415758456
101342340880
11629797631
12315669780
1318514115a
14ca3c33d6
157cca5970
hex50027f10

1342340880 has 160 divisors (see below), whose sum is σ = 4396861440. Its totient is φ = 337835520.

The previous prime is 1342340843. The next prime is 1342340891. The reversal of 1342340880 is 880432431.

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, 1965019 + ... + 1965701.

It is an arithmetic number, because the mean of its divisors is an integer number (27480384).

Almost surely, 21342340880 is an apocalyptic number.

1342340880 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 1342340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198430720).

1342340880 is an abundant number, since it is smaller than the sum of its proper divisors (3054520560).

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

1342340880 is a wasteful number, since it uses less digits than its factorization.

1342340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1342340880 is about 36637.9704678084. The cubic root of 1342340880 is about 1103.1153777834.

The spelling of 1342340880 in words is "one billion, three hundred forty-two million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 431 456 570 683 760 862 912 1140 1293 1366 1520 1724 2049 2155 2280 2586 2732 3415 3448 4098 4310 4560 5172 5464 6465 6830 6896 8189 8196 8620 10245 10344 10928 12930 12977 13660 16378 16392 17240 20490 20688 24567 25860 25954 27320 32756 32784 34480 38931 40945 40980 49134 51720 51908 54640 64885 65512 77862 81890 81960 98268 103440 103816 122835 129770 131024 155724 163780 163920 194655 196536 207632 245670 259540 294373 311448 327560 389310 393072 491340 519080 588746 622896 655120 778620 883119 982680 1038160 1177492 1471865 1557240 1766238 1965360 2354984 2943730 3114480 3532476 4415595 4709968 5593087 5887460 7064952 8831190 11186174 11774920 14129904 16779261 17662380 22372348 23549840 27965435 33558522 35324760 44744696 55930870 67117044 70649520 83896305 89489392 111861740 134234088 167792610 223723480 268468176 335585220 447446960 671170440 1342340880