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242176340 = 225731411361
BaseRepresentation
bin11100110111101…
…01000101010100
3121212200211111002
432123311011110
5443444120330
640010402432
76000315320
oct1633650524
9555624432
10242176340
1111477a73a
1269130418
133b233613
1424240980
15163dae45
hexe6f5154

242176340 has 96 divisors (see below), whose sum is σ = 615057408. Its totient is φ = 78336000.

The previous prime is 242176313. The next prime is 242176343. The reversal of 242176340 is 43671242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242176343) 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, 177260 + ... + 178620.

It is an arithmetic number, because the mean of its divisors is an integer number (6406848).

Almost surely, 2242176340 is an apocalyptic number.

242176340 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 242176340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307528704).

242176340 is an abundant number, since it is smaller than the sum of its proper divisors (372881068).

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

242176340 is a wasteful number, since it uses less digits than its factorization.

242176340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 242176340 is about 15562.0159362468. The cubic root of 242176340 is about 623.3192945513.

The spelling of 242176340 in words is "two hundred forty-two million, one hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1361 1435 2170 2542 2722 2870 4340 5084 5444 5740 6355 6805 8897 9527 12710 13610 17794 19054 25420 27220 35588 38108 42191 44485 47635 55801 84382 88970 95270 111602 168764 177940 190540 210955 223204 279005 295337 390607 421910 558010 590674 781214 843820 1116020 1181348 1476685 1562428 1729831 1953035 2953370 3459662 3906070 5906740 6919324 7812140 8649155 12108817 17298310 24217634 34596620 48435268 60544085 121088170 242176340