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2608123434 = 2373117311579
BaseRepresentation
bin1001101101110100…
…1100111000101010
320201202122101202020
42123131030320222
520320134422214
61110445045310
7121426453260
oct23335147052
96652571666
102608123434
111119243814
12609556836
13327458607
141aa558430
15103e874a9
hex9b74ce2a

2608123434 has 64 divisors (see below), whose sum is σ = 6189834240. Its totient is φ = 716909760.

The previous prime is 2608123429. The next prime is 2608123457. The reversal of 2608123434 is 4343218062.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2608123395 and 2608123404.

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 31 ways as a sum of consecutive naturals, for example, 219457 + ... + 231035.

It is an arithmetic number, because the mean of its divisors is an integer number (96716160).

Almost surely, 22608123434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2608123434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094917120).

2608123434 is an abundant number, since it is smaller than the sum of its proper divisors (3581710806).

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

2608123434 is a wasteful number, since it uses less digits than its factorization.

2608123434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2608123434 is about 51069.7898370455. The cubic root of 2608123434 is about 1376.4994655192.

The spelling of 2608123434 in words is "two billion, six hundred eight million, one hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 173 186 217 346 434 519 651 1038 1211 1302 2422 3633 5363 7266 10726 11579 16089 23158 32178 34737 37541 69474 75082 81053 112623 162106 225246 243159 358949 486318 717898 1076847 2003167 2153694 2512643 4006334 5025286 6009501 7537929 12019002 14022169 15075858 28044338 42066507 62098177 84133014 124196354 186294531 372589062 434687239 869374478 1304061717 2608123434