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3142380 = 223583631
BaseRepresentation
bin1011111111001011101100
312220122112110
423333023230
51301024010
6151204020
735465313
oct13771354
95818473
103142380
111856a0a
121076610
138603c7
145bb27a
15421120
hex2ff2ec

3142380 has 48 divisors (see below), whose sum is σ = 8918784. Its totient is φ = 826560.

The previous prime is 3142379. The next prime is 3142387. The reversal of 3142380 is 832413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3142387) 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, 4665 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (185808).

Almost surely, 23142380 is an apocalyptic number.

3142380 is a gapful number since it is divisible by the number (30) 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 3142380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459392).

3142380 is an abundant number, since it is smaller than the sum of its proper divisors (5776404).

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

3142380 is a wasteful number, since it uses less digits than its factorization.

3142380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3142380 is about 1772.6759433128. The cubic root of 3142380 is about 146.4714229419.

Adding to 3142380 its reverse (832413), we get a palindrome (3974793).

The spelling of 3142380 in words is "three million, one hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 631 830 996 1245 1262 1660 1893 2490 2524 3155 3786 4980 6310 7572 9465 12620 18930 37860 52373 104746 157119 209492 261865 314238 523730 628476 785595 1047460 1571190 3142380