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1342210400 = 25529911693
BaseRepresentation
bin101000000000000…
…1000000101100000
310110112121100112022
41100000020011200
510222101213100
6341104121012
745155412566
oct12000100540
93415540468
101342210400
116297085a3
12315606168
131850c694b
14ca38ba36
157cc7be85
hex50008160

1342210400 has 72 divisors (see below), whose sum is σ = 3281914944. Its totient is φ = 536025600.

The previous prime is 1342210391. The next prime is 1342210403. The reversal of 1342210400 is 40122431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342210403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791954 + ... + 793646.

It is an arithmetic number, because the mean of its divisors is an integer number (45582152).

Almost surely, 21342210400 is an apocalyptic number.

1342210400 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 1342210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640957472).

1342210400 is an abundant number, since it is smaller than the sum of its proper divisors (1939704544).

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

1342210400 is a wasteful number, since it uses less digits than its factorization.

1342210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1342210400 is about 36636.1897582159. The cubic root of 1342210400 is about 1103.0796344635.

Adding to 1342210400 its reverse (40122431), we get a palindrome (1382332831).

The spelling of 1342210400 in words is "one billion, three hundred forty-two million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 991 1693 1982 3386 3964 4955 6772 7928 8465 9910 13544 15856 16930 19820 24775 27088 31712 33860 39640 42325 49550 54176 67720 79280 84650 99100 135440 158560 169300 198200 270880 338600 396400 677200 792800 1354400 1677763 3355526 6711052 8388815 13422104 16777630 26844208 33555260 41944075 53688416 67110520 83888150 134221040 167776300 268442080 335552600 671105200 1342210400