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242037312 = 26311114601
BaseRepresentation
bin11100110110100…
…11001001000000
3121212102202202220
432123103021000
5443430143222
640003411040
75666166066
oct1633231100
9555382686
10242037312
11114695240
1269083a80
133b1b525a
1424206036
15163aeb5c
hexe6d3240

242037312 has 56 divisors (see below), whose sum is σ = 698613792. Its totient is φ = 73344000.

The previous prime is 242037311. The next prime is 242037319. The reversal of 242037312 is 213730242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242037311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55189 + ... + 59412.

Almost surely, 2242037312 is an apocalyptic number.

242037312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242037312 is an abundant number, since it is smaller than the sum of its proper divisors (456576480).

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

242037312 is a wasteful number, since it uses less digits than its factorization.

242037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114627 (or 114617 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 242037312 is about 15557.5483929827. The cubic root of 242037312 is about 623.1999938479.

Adding to 242037312 its reverse (213730242), we get a palindrome (455767554).

The spelling of 242037312 in words is "two hundred forty-two million, thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 114601 229202 343803 458404 687606 916808 1260611 1375212 1833616 2521222 2750424 3667232 3781833 5042444 5500848 7334464 7563666 10084888 11001696 15127332 20169776 22003392 30254664 40339552 60509328 80679104 121018656 242037312