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3144032424 = 2332139473547
BaseRepresentation
bin1011101101100110…
…0010000010101000
322010010001101200100
42323121202002220
522414333014144
61235551305400
7140624556201
oct27331420250
98103041610
103144032424
1113737a7105
12738b1b260
133b14a4120
1421b7ba5a8
15136045269
hexbb6620a8

3144032424 has 96 divisors (see below), whose sum is σ = 9182365920. Its totient is φ = 966100608.

The previous prime is 3144032407. The next prime is 3144032443. The reversal of 3144032424 is 4242304413.

It is a happy number.

3144032424 is a `hidden beast` number, since 3 + 14 + 403 + 242 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884619 + ... + 888165.

It is an arithmetic number, because the mean of its divisors is an integer number (95649645).

Almost surely, 23144032424 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 3144032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591182960).

3144032424 is an abundant number, since it is smaller than the sum of its proper divisors (6038333496).

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

3144032424 is a wasteful number, since it uses less digits than its factorization.

3144032424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3144032424 is about 56071.6722062041. The cubic root of 3144032424 is about 1464.9709249628.

Adding to 3144032424 its reverse (4242304413), we get a palindrome (7386336837).

The spelling of 3144032424 in words is "three billion, one hundred forty-four million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 947 1894 2841 3547 3788 5682 7094 7576 8523 10641 11364 12311 14188 17046 21282 22728 24622 28376 31923 34092 36933 42564 46111 49244 63846 68184 73866 85128 92222 98488 110799 127692 138333 147732 184444 221598 255384 276666 295464 368888 414999 443196 553332 829998 886392 1106664 1659996 3319992 3359009 6718018 10077027 13436036 20154054 26872072 30231081 40308108 43667117 60462162 80616216 87334234 120924324 131001351 174668468 241848648 262002702 349336936 393004053 524005404 786008106 1048010808 1572016212 3144032424