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242134320 = 24358291217
BaseRepresentation
bin11100110111010…
…10110100110000
3121212121200211210
432123222310300
5443441244240
640005440120
76000051651
oct1633526460
9555550753
10242134320
1111475110a
1269110040
133b21a45c
142422d528
15163cd780
hexe6ead30

242134320 has 80 divisors (see below), whose sum is σ = 752139360. Its totient is φ = 64438272.

The previous prime is 242134301. The next prime is 242134331. The reversal of 242134320 is 23431242.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198352 + ... + 199568.

It is an arithmetic number, because the mean of its divisors is an integer number (9401742).

Almost surely, 2242134320 is an apocalyptic number.

242134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242134320 is an abundant number, since it is smaller than the sum of its proper divisors (510005040).

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

242134320 is a wasteful number, since it uses less digits than its factorization.

242134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 242134320 is about 15560.6657955243. The cubic root of 242134320 is about 623.2832417702.

Adding to 242134320 its reverse (23431242), we get a palindrome (265565562).

The spelling of 242134320 in words is "two hundred forty-two million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 829 1217 1658 2434 2487 3316 3651 4145 4868 4974 6085 6632 7302 8290 9736 9948 12170 12435 13264 14604 16580 18255 19472 19896 24340 24870 29208 33160 36510 39792 48680 49740 58416 66320 73020 97360 99480 146040 198960 292080 1008893 2017786 3026679 4035572 5044465 6053358 8071144 10088930 12106716 15133395 16142288 20177860 24213432 30266790 40355720 48426864 60533580 80711440 121067160 242134320