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4342231040 = 2125724327
BaseRepresentation
bin1000000101101000…
…10011000000000000
3102012121200012011212
410002310103000000
532343102343130
61554513025252
7212414232500
oct40264230000
912177605155
104342231040
1119290924a4
12a12255228
135427b76a4
142d299ba00
151a6326e95
hex102d13000

4342231040 has 156 divisors (see below), whose sum is σ = 12124121616. Its totient is φ = 1488420864.

The previous prime is 4342231037. The next prime is 4342231067. The reversal of 4342231040 is 401322434.

It is a junction number, because it is equal to n+sod(n) for n = 4342230997 and 4342231015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001357 + ... + 1005683.

Almost surely, 24342231040 is an apocalyptic number.

4342231040 is a gapful number since it is divisible by the number (40) 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 4342231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062060808).

4342231040 is an abundant number, since it is smaller than the sum of its proper divisors (7781890576).

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

4342231040 is an equidigital number, since it uses as much as digits as its factorization.

4342231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4342231040 is about 65895.6071373502. The cubic root of 4342231040 is about 1631.4395102074.

Adding to 4342231040 its reverse (401322434), we get a palindrome (4743553474).

The spelling of 4342231040 in words is "four billion, three hundred forty-two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2048 2240 2560 3136 3584 3920 4096 4327 4480 5120 6272 7168 7840 8654 8960 10240 12544 14336 15680 17308 17920 20480 21635 25088 28672 30289 31360 34616 35840 43270 50176 60578 62720 69232 71680 86540 100352 121156 125440 138464 143360 151445 173080 200704 212023 242312 250880 276928 302890 346160 424046 484624 501760 553856 605780 692320 848092 969248 1003520 1060115 1107712 1211560 1384640 1696184 1938496 2120230 2215424 2423120 2769280 3392368 3876992 4240460 4430848 4846240 5538560 6784736 7753984 8480920 8861696 9692480 11077120 13569472 15507968 16961840 17723392 19384960 22154240 27138944 31015936 33923680 38769920 44308480 54277888 62031872 67847360 77539840 88616960 108555776 124063744 135694720 155079680 217111552 271389440 310159360 434223104 542778880 620318720 868446208 1085557760 2171115520 4342231040