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1342251440 = 245412291787
BaseRepresentation
bin101000000000001…
…0010000110110000
310110112200102211022
41100000102012300
510222104021230
6341105035012
745155643335
oct12000220660
93415612738
101342251440
11629736412
12315625a68
1318510c52a
14ca39c98c
157cc891e5
hex500121b0

1342251440 has 80 divisors (see below), whose sum is σ = 3212606880. Its totient is φ = 521226240.

The previous prime is 1342251419. The next prime is 1342251509. The reversal of 1342251440 is 441522431.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750227 + ... + 752013.

It is an arithmetic number, because the mean of its divisors is an integer number (40157586).

Almost surely, 21342251440 is an apocalyptic number.

1342251440 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 1342251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606303440).

1342251440 is an abundant number, since it is smaller than the sum of its proper divisors (1870355440).

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

1342251440 is a wasteful number, since it uses less digits than its factorization.

1342251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1342251440 is about 36636.7498558483. The cubic root of 1342251440 is about 1103.0908770940.

Adding to 1342251440 its reverse (441522431), we get a palindrome (1783773871).

The spelling of 1342251440 in words is "one billion, three hundred forty-two million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 229 328 410 458 656 820 916 1145 1640 1787 1832 2290 3280 3574 3664 4580 7148 8935 9160 9389 14296 17870 18320 18778 28592 35740 37556 46945 71480 73267 75112 93890 142960 146534 150224 187780 293068 366335 375560 409223 586136 732670 751120 818446 1172272 1465340 1636892 2046115 2930680 3273784 4092230 5861360 6547568 8184460 16368920 16778143 32737840 33556286 67112572 83890715 134225144 167781430 268450288 335562860 671125720 1342251440