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241151340 = 223541167587
BaseRepresentation
bin11100101111110…
…10110101101100
3121210202202110010
432113322311230
5443213320330
635532413220
75655516063
oct1627726554
9553682403
10241151340
1111413a631
1268917210
133ac64c01
14240551da
15162873b0
hexe5fad6c

241151340 has 96 divisors (see below), whose sum is σ = 697019904. Its totient is φ = 62256640.

The previous prime is 241151333. The next prime is 241151347. The reversal of 241151340 is 43151142.

241151340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241151333) and next prime (241151347).

It is not an unprimeable number, because it can be changed into a prime (241151347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410527 + ... + 411113.

It is an arithmetic number, because the mean of its divisors is an integer number (7260624).

Almost surely, 2241151340 is an apocalyptic number.

241151340 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 241151340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348509952).

241151340 is an abundant number, since it is smaller than the sum of its proper divisors (455868564).

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

241151340 is a wasteful number, since it uses less digits than its factorization.

241151340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 241151340 is about 15529.0482644623. The cubic root of 241151340 is about 622.4386610744.

The spelling of 241151340 in words is "two hundred forty-one million, one hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 167 205 246 334 410 492 501 587 615 668 820 835 1002 1174 1230 1670 1761 2004 2348 2460 2505 2935 3340 3522 5010 5870 6847 7044 8805 10020 11740 13694 17610 20541 24067 27388 34235 35220 41082 48134 68470 72201 82164 96268 98029 102705 120335 136940 144402 196058 205410 240670 288804 294087 361005 392116 410820 481340 490145 588174 722010 980290 1176348 1444020 1470435 1960580 2940870 4019189 5881740 8038378 12057567 16076756 20095945 24115134 40191890 48230268 60287835 80383780 120575670 241151340