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4240434336 = 253437913003
BaseRepresentation
bin1111110010111111…
…1110010010100000
3101221112010101100120
43330233332102200
532141022344321
61540435120240
7210040045215
oct37457762240
911845111316
104240434336
111886684096
129a4143080
13527695158
142c325db0c
1519c419ec6
hexfcbfe4a0

4240434336 has 96 divisors (see below), whose sum is σ = 11535068160. Its totient is φ = 1363025664.

The previous prime is 4240434323. The next prime is 4240434347. The reversal of 4240434336 is 6334340424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4240434297 and 4240434306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319611 + ... + 332613.

It is an arithmetic number, because the mean of its divisors is an integer number (120156960).

Almost surely, 24240434336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767534080).

4240434336 is an abundant number, since it is smaller than the sum of its proper divisors (7294633824).

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

4240434336 is a wasteful number, since it uses less digits than its factorization.

4240434336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

The square root of 4240434336 is about 65118.6174300407. The cubic root of 4240434336 is about 1618.5897313617.

The spelling of 4240434336 in words is "four billion, two hundred forty million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 79 86 96 129 158 172 237 258 316 344 474 516 632 688 948 1032 1264 1376 1896 2064 2528 3397 3792 4128 6794 7584 10191 13003 13588 20382 26006 27176 39009 40764 52012 54352 78018 81528 104024 108704 156036 163056 208048 312072 326112 416096 559129 624144 1027237 1118258 1248288 1677387 2054474 2236516 3081711 3354774 4108948 4473032 6163422 6709548 8217896 8946064 12326844 13419096 16435792 17892128 24653688 26838192 32871584 44171191 49307376 53676384 88342382 98614752 132513573 176684764 265027146 353369528 530054292 706739056 1060108584 1413478112 2120217168 4240434336