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1342340120 = 235113191327
BaseRepresentation
bin101000000000010…
…0111110000011000
310110112211221110202
41100000213300120
510222114340440
6341111001332
745156463022
oct12000476030
93415757422
101342340120
11629797000
12315669248
131851409c4
14ca3c3012
157cca5615
hex50027c18

1342340120 has 128 divisors (see below), whose sum is σ = 3499545600. Its totient is φ = 462084480.

The previous prime is 1342340119. The next prime is 1342340141. The reversal of 1342340120 is 210432431.

It is a super-2 number, since 2×13423401202 = 3603753995523228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1342340092 and 1342340101.

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, 1010897 + ... + 1012223.

It is an arithmetic number, because the mean of its divisors is an integer number (27340200).

Almost surely, 21342340120 is an apocalyptic number.

1342340120 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 1342340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749772800).

1342340120 is an abundant number, since it is smaller than the sum of its proper divisors (2157205480).

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

1342340120 is a wasteful number, since it uses less digits than its factorization.

1342340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1342340120 is about 36637.9600960534. The cubic root of 1342340120 is about 1103.1151695978.

Adding to 1342340120 its reverse (210432431), we get a palindrome (1552772551).

The spelling of 1342340120 in words is "one billion, three hundred forty-two million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 380 418 440 484 605 760 836 968 1045 1210 1327 1331 1672 2090 2299 2420 2654 2662 4180 4598 4840 5308 5324 6635 6655 8360 9196 10616 10648 11495 13270 13310 14597 18392 22990 25213 25289 26540 26620 29194 45980 50426 50578 53080 53240 58388 72985 91960 100852 101156 116776 126065 126445 145970 160567 201704 202312 252130 252890 277343 291940 321134 504260 505780 554686 583880 642268 802835 1008520 1011560 1109372 1284536 1386715 1605670 1766237 2218744 2773430 3050773 3211340 3532474 5546860 6101546 6422680 7064948 8831185 11093720 12203092 14129896 15253865 17662370 24406184 30507730 33558503 35324740 61015460 67117006 70649480 122030920 134234012 167792515 268468024 335585030 671170060 1342340120