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2429342928 = 2436208277
BaseRepresentation
bin1001000011001100…
…1101010011010000
320021022020102000000
42100303031103100
514433402433203
61041021130000
7114126034305
oct22063152320
96238212000
102429342928
111037334331
125796b9900
132c93c082c
141908db0ac
15e34204a3
hex90ccd4d0

2429342928 has 70 divisors (see below), whose sum is σ = 7057083474. Its totient is φ = 809777088.

The previous prime is 2429342899. The next prime is 2429342933. The reversal of 2429342928 is 8292439242.

It can be written as a sum of positive squares in only one way, i.e., 1301189184 + 1128153744 = 36072^2 + 33588^2 .

It is a super-2 number, since 2×24293429282 = 11803414123647226368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 92475 + ... + 115802.

Almost surely, 22429342928 is an apocalyptic number.

It is an amenable number.

2429342928 is an abundant number, since it is smaller than the sum of its proper divisors (4627740546).

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

2429342928 is an equidigital number, since it uses as much as digits as its factorization.

2429342928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208303 (or 208282 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2429342928 is about 49288.3650367914. The cubic root of 2429342928 is about 1344.3002358591.

The spelling of 2429342928 in words is "two billion, four hundred twenty-nine million, three hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 208277 416554 624831 833108 1249662 1666216 1874493 2499324 3332432 3748986 4998648 5623479 7497972 9997296 11246958 14995944 16870437 22493916 29991888 33740874 44987832 50611311 67481748 89975664 101222622 134963496 151833933 202445244 269926992 303667866 404890488 607335732 809780976 1214671464 2429342928