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3141984 = 253231423
BaseRepresentation
bin1011111111000101100000
312220121222210
423333011200
51301020414
6151202120
735464206
oct13770540
95817883
103141984
11185668a
121076340
13860181
145bb076
15420e59
hex2ff160

3141984 has 48 divisors (see below), whose sum is σ = 8612352. Its totient is φ = 1001088.

The previous prime is 3141959. The next prime is 3142019. The reversal of 3141984 is 4891413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (179424).

Almost surely, 23141984 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 3141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306176).

3141984 is an abundant number, since it is smaller than the sum of its proper divisors (5470368).

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

3141984 is a wasteful number, since it uses less digits than its factorization.

3141984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1451 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 3141984 is about 1772.5642442518. The cubic root of 3141984 is about 146.4652699496.

The spelling of 3141984 in words is "three million, one hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1423 2208 2846 4269 5692 8538 11384 17076 22768 32729 34152 45536 65458 68304 98187 130916 136608 196374 261832 392748 523664 785496 1047328 1570992 3141984