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1341042304 = 2777092111
BaseRepresentation
bin100111111101110…
…1010111010000000
310110110102000012111
41033323222322000
510221301323204
6341023105104
745142446220
oct11773527200
93413360174
101341042304
11628a8aa28
12315142194
13184aa8074
14ca166080
157caead04
hex4feeae80

1341042304 has 64 divisors (see below), whose sum is σ = 3059020800. Its totient is φ = 573649920.

The previous prime is 1341042281. The next prime is 1341042317. The reversal of 1341042304 is 4032401431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13410423042 = 3596788922235256832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634209 + ... + 636319.

It is an arithmetic number, because the mean of its divisors is an integer number (47797200).

Almost surely, 21341042304 is an apocalyptic number.

1341042304 is a gapful number since it is divisible by the number (14) 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 1341042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529510400).

1341042304 is an abundant number, since it is smaller than the sum of its proper divisors (1717978496).

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

1341042304 is an equidigital number, since it uses as much as digits as its factorization.

1341042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1341042304 is about 36620.2444557652. The cubic root of 1341042304 is about 1102.7595463276.

Adding to 1341042304 its reverse (4032401431), we get a palindrome (5373443735).

The spelling of 1341042304 in words is "one billion, three hundred forty-one million, forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 709 896 1418 2111 2836 4222 4963 5672 8444 9926 11344 14777 16888 19852 22688 29554 33776 39704 45376 59108 67552 79408 90752 118216 135104 158816 236432 270208 317632 472864 635264 945728 1496699 1891456 2993398 5986796 10476893 11973592 20953786 23947184 41907572 47894368 83815144 95788736 167630288 191577472 335260576 670521152 1341042304