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3420144024 = 2331173177467
BaseRepresentation
bin1100101111011011…
…0100000110011000
322211100121022120220
43023312310012120
524001024102044
61323213320040
7150516513243
oct31366640630
98740538526
103420144024
1114a5644910
127b5496020
1342675997b
1424633225a
151503d6019
hexcbdb4198

3420144024 has 64 divisors (see below), whose sum is σ = 9455495040. Its totient is φ = 1022204160.

The previous prime is 3420144023. The next prime is 3420144043. The reversal of 3420144024 is 4204410243.

It is a happy number.

3420144024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3420143985 and 3420144003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420144023) 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, 69462 + ... + 108005.

It is an arithmetic number, because the mean of its divisors is an integer number (147742110).

Almost surely, 23420144024 is an apocalyptic number.

It is an amenable number.

3420144024 is an abundant number, since it is smaller than the sum of its proper divisors (6035351016).

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

3420144024 is a wasteful number, since it uses less digits than its factorization.

3420144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177560 (or 177556 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3420144024 is about 58481.9974351082. The cubic root of 3420144024 is about 1506.6584035972.

Adding to 3420144024 its reverse (4204410243), we get a palindrome (7624554267).

The spelling of 3420144024 in words is "three billion, four hundred twenty million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 19272 177467 354934 532401 709868 1064802 1419736 1952137 2129604 3904274 4259208 5856411 7808548 11712822 12955091 15617096 23425644 25910182 38865273 46851288 51820364 77730546 103640728 142506001 155461092 285012002 310922184 427518003 570024004 855036006 1140048008 1710072012 3420144024