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1342145310 = 2351123111927
BaseRepresentation
bin100111111111111…
…1000001100011110
310110112111001020120
41033333320030132
510222042122220
6341102455410
745155022042
oct11777701436
93415431216
101342145310
11629673700
12315594566
131850a312c
14ca372022
157cc67a40
hex4fff831e

1342145310 has 96 divisors (see below), whose sum is σ = 3655120896. Its totient is φ = 314846400.

The previous prime is 1342145309. The next prime is 1342145323. The reversal of 1342145310 is 135412431.

It is a happy number.

It is a super-2 number, since 2×13421453102 = 3602708066309992200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106567 + ... + 118493.

It is an arithmetic number, because the mean of its divisors is an integer number (38074176).

Almost surely, 21342145310 is an apocalyptic number.

1342145310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342145310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827560448).

1342145310 is an abundant number, since it is smaller than the sum of its proper divisors (2312975586).

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

1342145310 is a wasteful number, since it uses less digits than its factorization.

1342145310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1342145310 is about 36635.3014181677. The cubic root of 1342145310 is about 1103.0618030281.

Adding to 1342145310 its reverse (135412431), we get a palindrome (1477557741).

The spelling of 1342145310 in words is "one billion, three hundred forty-two million, one hundred forty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 5115 7502 10230 11253 11927 18755 22506 23854 35781 37510 56265 59635 71562 112530 119270 131197 178905 262394 357810 369737 393591 655985 739474 787182 1109211 1311970 1443167 1848685 1967955 2218422 2886334 3697370 3935910 4067107 4329501 5546055 7215835 8134214 8659002 11092110 12201321 14431670 20335535 21647505 24402642 40671070 43295010 44738177 61006605 89476354 122013210 134214531 223690885 268429062 447381770 671072655 1342145310