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3420144324 = 2238194
BaseRepresentation
bin1100101111011011…
…0100001011000100
322211100121100000000
43023312310023010
524001024104244
61323213321300
7150516514152
oct31366641304
98740540000
103420144324
1114a5645063
127b5496230
13426759b4c
142463323d2
151503d6169
hexcbdb42c4

3420144324 has 135 divisors (see below), whose sum is σ = 9476164607. Its totient is φ = 1080045576.

The previous prime is 3420144317. The next prime is 3420144341. The reversal of 3420144324 is 4234410243.

It is a happy number.

The square root of 3420144324 is 58482.

It is a perfect power (a square), and thus also a powerful number.

3420144324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=171.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 180007587 + ... + 180007605.

Almost surely, 23420144324 is an apocalyptic number.

3420144324 is the 58482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420144324

3420144324 is an abundant number, since it is smaller than the sum of its proper divisors (6056020283).

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

3420144324 is an frugal number, since it uses more digits than its factorization.

3420144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 24 counting only the distinct ones).

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

The cubic root of 3420144324 is about 1506.6584476497.

Multiplying 3420144324 by its product of nonzero digits (9216), we get a square (31520050089984 = 56142722).

Adding to 3420144324 its reverse (4234410243), we get a palindrome (7654554567).

The spelling of 3420144324 in words is "three billion, four hundred twenty million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 361 486 513 684 722 729 972 1026 1083 1444 1458 1539 2052 2166 2187 2916 3078 3249 4332 4374 4617 6156 6498 6561 6859 8748 9234 9747 12996 13122 13718 13851 18468 19494 20577 26244 27436 27702 29241 38988 41154 41553 55404 58482 61731 82308 83106 87723 116964 123462 124659 130321 166212 175446 185193 246924 249318 260642 263169 350892 370386 390963 498636 521284 526338 555579 740772 781926 789507 1052676 1111158 1172889 1563852 1579014 1666737 2222316 2345778 2368521 3158028 3333474 3518667 4691556 4737042 5000211 6666948 7037334 9474084 10000422 10556001 14074668 15000633 20000844 21112002 30001266 31668003 42224004 45001899 60002532 63336006 90003798 95004009 126672012 180007596 190008018 285012027 380016036 570024054 855036081 1140048108 1710072162 3420144324