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3142144 = 2917192
BaseRepresentation
bin1011111111001000000000
312220122012201
423333020000
51301022034
6151202544
735464525
oct13771000
95818181
103142144
111856815
121076454
13860275
145bb14c
15421014
hex2ff200

3142144 has 60 divisors (see below), whose sum is σ = 7015734. Its totient is φ = 1400832.

The previous prime is 3142123. The next prime is 3142157. The reversal of 3142144 is 4412413.

It can be written as a sum of positive squares in only one way, i.e., 2310400 + 831744 = 1520^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165367 + ... + 165385.

Almost surely, 23142144 is an apocalyptic number.

3142144 is a gapful number since it is divisible by the number (34) 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 3142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507867).

3142144 is an abundant number, since it is smaller than the sum of its proper divisors (3873590).

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

3142144 is an equidigital number, since it uses as much as digits as its factorization.

3142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 3142144 is about 1772.6093760330. The cubic root of 3142144 is about 146.4677560693.

Adding to 3142144 its reverse (4412413), we get a palindrome (7554557).

The spelling of 3142144 in words is "three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 361 512 544 608 646 722 1088 1216 1292 1444 2176 2432 2584 2888 4352 4864 5168 5776 6137 8704 9728 10336 11552 12274 20672 23104 24548 41344 46208 49096 82688 92416 98192 165376 184832 196384 392768 785536 1571072 3142144