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1342353920 = 2951812897
BaseRepresentation
bin101000000000010…
…1011001000000000
310110112212122101212
41100000223020000
510222120311140
6341111145252
745156551165
oct12000531000
93415778355
101342353920
116297a6406
12315675228
1318514707b
14ca3c806c
157cca9765
hex5002b200

1342353920 has 80 divisors (see below), whose sum is σ = 3237402168. Its totient is φ = 533790720.

The previous prime is 1342353917. The next prime is 1342353941. The reversal of 1342353920 is 293532431.

It can be written as a sum of positive squares in 4 ways, for example, as 361912576 + 980441344 = 19024^2 + 31312^2 .

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 (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461912 + ... + 464808.

Almost surely, 21342353920 is an apocalyptic number.

1342353920 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 1342353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618701084).

1342353920 is an abundant number, since it is smaller than the sum of its proper divisors (1895048248).

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

1342353920 is an equidigital number, since it uses as much as digits as its factorization.

1342353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 1342353920 is about 36638.1484248317. The cubic root of 1342353920 is about 1103.1189497966.

The spelling of 1342353920 in words is "one billion, three hundred forty-two million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 512 640 724 905 1280 1448 1810 2560 2896 2897 3620 5792 5794 7240 11584 11588 14480 14485 23168 23176 28960 28970 46336 46352 57920 57940 92672 92704 115840 115880 185408 231680 231760 370816 463360 463520 524357 741632 927040 1048714 1483264 1854080 2097428 2621785 3708160 4194856 5243570 7416320 8389712 10487140 16779424 20974280 33558848 41948560 67117696 83897120 134235392 167794240 268470784 335588480 671176960 1342353920