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4332341136 = 243671379833
BaseRepresentation
bin1000000100011101…
…00100011110010000
3102011221001201210010
410002032210132100
532333034404021
61553521034520
7212234202114
oct40216443620
912157051703
104332341136
111923548022
12a0aa85a40
13540733c86
142d1545744
151a5521976
hex1023a4790

4332341136 has 80 divisors (see below), whose sum is σ = 11442999744. Its totient is φ = 1412032512.

The previous prime is 4332341099. The next prime is 4332341159. The reversal of 4332341136 is 6311432334.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435676 + ... + 445508.

Almost surely, 24332341136 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 4332341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721499872).

4332341136 is an abundant number, since it is smaller than the sum of its proper divisors (7110658608).

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

4332341136 is a wasteful number, since it uses less digits than its factorization.

4332341136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10042 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 4332341136 is about 65820.5221492507. The cubic root of 4332341136 is about 1630.1999749634.

The spelling of 4332341136 in words is "four billion, three hundred thirty-two million, three hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 137 201 268 274 402 411 536 548 804 822 1072 1096 1608 1644 2192 3216 3288 6576 9179 9833 18358 19666 27537 29499 36716 39332 55074 58998 73432 78664 110148 117996 146864 157328 220296 235992 440592 471984 658811 1317622 1347121 1976433 2635244 2694242 3952866 4041363 5270488 5388484 7905732 8082726 10540976 10776968 15811464 16165452 21553936 31622928 32330904 64661808 90257107 180514214 270771321 361028428 541542642 722056856 1083085284 1444113712 2166170568 4332341136