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4350315040 = 255612331913
BaseRepresentation
bin1000000110100110…
…01000101000100000
3102020011212220100021
410003103020220200
532402140040130
61555402203224
7212543032141
oct40323105040
912204786307
104350315040
111932704095
12a14ab3514
13544388116
142d3aa3ac8
151a6dc237a
hex1034c8a20

4350315040 has 96 divisors (see below), whose sum is σ = 10496421936. Its totient is φ = 1703362560.

The previous prime is 4350315037. The next prime is 4350315043. The reversal of 4350315040 is 405130534.

It is an interprime number because it is at equal distance from previous prime (4350315037) and next prime (4350315043).

It can be written as a sum of positive squares in 8 ways, for example, as 865065744 + 3485249296 = 29412^2 + 59036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4350314996 and 4350315014.

It is not an unprimeable number, because it can be changed into a prime (4350315043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2273124 + ... + 2275036.

Almost surely, 24350315040 is an apocalyptic number.

4350315040 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 4350315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248210968).

4350315040 is an abundant number, since it is smaller than the sum of its proper divisors (6146106896).

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

4350315040 is a wasteful number, since it uses less digits than its factorization.

4350315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 4350315040 is about 65956.9180602005. The cubic root of 4350315040 is about 1632.4513081276.

Adding to 4350315040 its reverse (405130534), we get a palindrome (4755445574).

The spelling of 4350315040 in words is "four billion, three hundred fifty million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 233 244 305 466 488 610 932 976 1165 1220 1864 1913 1952 2330 2440 3728 3826 4660 4880 7456 7652 9320 9565 9760 14213 15304 18640 19130 28426 30608 37280 38260 56852 61216 71065 76520 113704 116693 142130 153040 227408 233386 284260 306080 445729 454816 466772 568520 583465 891458 933544 1137040 1166930 1782916 1867088 2228645 2274080 2333860 3565832 3734176 4457290 4667720 7131664 8914580 9335440 14263328 17829160 18670880 27189469 35658320 54378938 71316640 108757876 135947345 217515752 271894690 435031504 543789380 870063008 1087578760 2175157520 4350315040