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3142420240 = 24559719377
BaseRepresentation
bin1011101101001101…
…1000011100010000
322010000000111011211
42323103120130100
522413424421430
61235452545504
7140605063021
oct27323303420
98100014154
103142420240
1113728a5923
12738482294
133b105b37b
1421b4bac48
15135d2772a
hexbb4d8710

3142420240 has 80 divisors (see below), whose sum is σ = 7535410560. Its totient is φ = 1218129920.

The previous prime is 3142420231. The next prime is 3142420243. The reversal of 3142420240 is 420242413.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3142420243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330432 + ... + 339808.

It is an arithmetic number, because the mean of its divisors is an integer number (94192632).

Almost surely, 23142420240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767705280).

3142420240 is an abundant number, since it is smaller than the sum of its proper divisors (4392990320).

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

3142420240 is a wasteful number, since it uses less digits than its factorization.

3142420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3142420240 is about 56057.2942622100. The cubic root of 3142420240 is about 1464.7204815646.

Adding to 3142420240 its reverse (420242413), we get a palindrome (3562662653).

The spelling of 3142420240 in words is "three billion, one hundred forty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 71 80 118 142 236 284 295 355 472 568 590 710 944 1136 1180 1420 2360 2840 4189 4720 5680 8378 9377 16756 18754 20945 33512 37508 41890 46885 67024 75016 83780 93770 150032 167560 187540 335120 375080 553243 665767 750160 1106486 1331534 2212972 2663068 2766215 3328835 4425944 5326136 5532430 6657670 8851888 10652272 11064860 13315340 22129720 26630680 39280253 44259440 53261360 78560506 157121012 196401265 314242024 392802530 628484048 785605060 1571210120 3142420240