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1154342016 = 2734111337
BaseRepresentation
bin100010011001101…
…1101110010000000
32222110002122120000
41010303131302000
54331002421031
6310313320000
740414513422
oct10463356200
92873078500
101154342016
11542661273
12282706000
131551c9519
14ad446812
156b51c3e6
hex44cddc80

1154342016 has 80 divisors (see below), whose sum is σ = 3435333990. Its totient is φ = 384777216.

The previous prime is 1154342011. The next prime is 1154342027. The reversal of 1154342016 is 6102434511.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1026561600 + 127780416 = 32040^2 + 11304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1154342011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 45301 + ... + 66036.

Almost surely, 21154342016 is an apocalyptic number.

1154342016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1154342016 is an abundant number, since it is smaller than the sum of its proper divisors (2280991974).

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

1154342016 is an equidigital number, since it uses as much as digits as its factorization.

1154342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111363 (or 111342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1154342016 is about 33975.6091336123. The cubic root of 1154342016 is about 1049.0064724490.

Adding to 1154342016 its reverse (6102434511), we get a palindrome (7256776527).

The spelling of 1154342016 in words is "one billion, one hundred fifty-four million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 111337 222674 334011 445348 668022 890696 1002033 1336044 1781392 2004066 2672088 3006099 3562784 4008132 5344176 6012198 7125568 8016264 9018297 10688352 12024396 14251136 16032528 18036594 21376704 24048792 32065056 36073188 42753408 48097584 64130112 72146376 96195168 128260224 144292752 192390336 288585504 384780672 577171008 1154342016