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4338960288 = 253134773973
BaseRepresentation
bin1000000101001111…
…10100011110100000
3102012101112000112220
410002213310132200
532341233212123
61554314551040
7212344360665
oct40247643640
912171460486
104338960288
1119272590a3
12a11138480
13541c10a30
142d2389a6c
151a5dccce3
hex1029f47a0

4338960288 has 96 divisors (see below), whose sum is σ = 12527053056. Its totient is φ = 1306641408.

The previous prime is 4338960271. The next prime is 4338960313. The reversal of 4338960288 is 8820698334.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4338960288.

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, 21670 + ... + 95642.

It is an arithmetic number, because the mean of its divisors is an integer number (130490136).

Almost surely, 24338960288 is an apocalyptic number.

4338960288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263526528).

4338960288 is an abundant number, since it is smaller than the sum of its proper divisors (8188092768).

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

4338960288 is a wasteful number, since it uses less digits than its factorization.

4338960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74046 (or 74038 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 4338960288 is about 65870.7847835442. The cubic root of 4338960288 is about 1631.0297842448.

The spelling of 4338960288 in words is "four billion, three hundred thirty-eight million, nine hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 29328 58656 73973 147946 221919 295892 443838 591784 887676 961649 1183568 1775352 1923298 2367136 2884947 3476731 3550704 3846596 5769894 6953462 7101408 7693192 10430193 11539788 13906924 15386384 20860386 23079576 27813848 30772768 41720772 45197503 46159152 55627696 83441544 90395006 92318304 111255392 135592509 166883088 180790012 271185018 333766176 361580024 542370036 723160048 1084740072 1446320096 2169480144 4338960288