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241058440 = 23572294241
BaseRepresentation
bin11100101111001…
…00001010001000
3121210121001000101
432113210022020
5443202332230
635530415144
75654651200
oct1627441210
9553531011
10241058440
11114086857
12688914b4
133ac3183c
142402d400
1516269aca
hexe5e4288

241058440 has 96 divisors (see below), whose sum is σ = 652843800. Its totient is φ = 79779840.

The previous prime is 241058437. The next prime is 241058443. The reversal of 241058440 is 44850142.

It is an interprime number because it is at equal distance from previous prime (241058437) and next prime (241058443).

It can be written as a sum of positive squares in 4 ways, for example, as 237591396 + 3467044 = 15414^2 + 1862^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 241058399 and 241058408.

It is not an unprimeable number, because it can be changed into a prime (241058443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54720 + ... + 58960.

Almost surely, 2241058440 is an apocalyptic number.

241058440 is a gapful number since it is divisible by the number (20) 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 241058440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326421900).

241058440 is an abundant number, since it is smaller than the sum of its proper divisors (411785360).

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

241058440 is a wasteful number, since it uses less digits than its factorization.

241058440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 241058440 is about 15526.0568078312. The cubic root of 241058440 is about 622.3587223679.

The spelling of 241058440 in words is "two hundred forty-one million, fifty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 4241 5684 7105 8120 8482 11368 14210 16964 21205 28420 29687 33928 42410 56840 59374 84820 118748 122989 148435 169640 207809 237496 245978 296870 415618 491956 593740 614945 831236 860923 983912 1039045 1187480 1229890 1662472 1721846 2078090 2459780 3443692 4156180 4304615 4919560 6026461 6887384 8312360 8609230 12052922 17218460 24105844 30132305 34436920 48211688 60264610 120529220 241058440