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241416396 = 2233131071607
BaseRepresentation
bin11100110001110…
…11100011001100
3121211021020001000
432120323203030
5443300311041
635542220300
75661001614
oct1630734314
9554236030
10241416396
11114300791
1268a24690
133b028750
14240c3a44
15162dabb6
hexe63b8cc

241416396 has 96 divisors (see below), whose sum is σ = 680762880. Its totient is φ = 73541952.

The previous prime is 241416389. The next prime is 241416397. The reversal of 241416396 is 693614142.

241416396 is a `hidden beast` number, since 2 + 4 + 14 + 1 + 639 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 241416396.

It is not an unprimeable number, because it can be changed into a prime (241416397) 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, 149425 + ... + 151031.

It is an arithmetic number, because the mean of its divisors is an integer number (7091280).

Almost surely, 2241416396 is an apocalyptic number.

241416396 is a gapful number since it is divisible by the number (26) 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 241416396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340381440).

241416396 is an abundant number, since it is smaller than the sum of its proper divisors (439346484).

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

241416396 is a wasteful number, since it uses less digits than its factorization.

241416396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1732 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 241416396 is about 15537.5801204692. The cubic root of 241416396 is about 622.6666239980. Note that the first 4 decimals are identical.

The spelling of 241416396 in words is "two hundred forty-one million, four hundred sixteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 107 108 117 156 214 234 321 351 428 468 642 702 963 1284 1391 1404 1607 1926 2782 2889 3214 3852 4173 4821 5564 5778 6428 8346 9642 11556 12519 14463 16692 19284 20891 25038 28926 37557 41782 43389 50076 57852 62673 75114 83564 86778 125346 150228 171949 173556 188019 250692 343898 376038 515847 564057 687796 752076 1031694 1128114 1547541 2063388 2235337 2256228 3095082 4470674 4642623 6190164 6706011 8941348 9285246 13412022 18570492 20118033 26824044 40236066 60354099 80472132 120708198 241416396