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1342033040 = 245177912491
BaseRepresentation
bin100111111111101…
…1100110010010000
310110112021100020102
41033333130302100
510222030024130
6341100231532
745154043525
oct11777346220
93415240212
101342033040
116295a7317
1231553b5a8
13185063cba
14ca34314c
157cc44645
hex4ffdcc90

1342033040 has 80 divisors (see below), whose sum is σ = 3345857280. Its totient is φ = 498800640.

The previous prime is 1342033013. The next prime is 1342033073. The reversal of 1342033040 is 403302431.

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

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

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, 101195 + ... + 113685.

It is an arithmetic number, because the mean of its divisors is an integer number (41823216).

Almost surely, 21342033040 is an apocalyptic number.

1342033040 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 1342033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672928640).

1342033040 is an abundant number, since it is smaller than the sum of its proper divisors (2003824240).

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

1342033040 is a wasteful number, since it uses less digits than its factorization.

1342033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600 (or 12594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1342033040 is about 36633.7691208535. The cubic root of 1342033040 is about 1103.0310452552.

Adding to 1342033040 its reverse (403302431), we get a palindrome (1745335471).

The spelling of 1342033040 in words is "one billion, three hundred forty-two million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 680 790 1264 1343 1360 1580 2686 3160 5372 6320 6715 10744 12491 13430 21488 24982 26860 49964 53720 62455 99928 107440 124910 199856 212347 249820 424694 499640 849388 986789 999280 1061735 1698776 1973578 2123470 3397552 3947156 4246940 4933945 7894312 8493880 9867890 15788624 16775413 16987760 19735780 33550826 39471560 67101652 78943120 83877065 134203304 167754130 268406608 335508260 671016520 1342033040