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3420143232 = 273111747629
BaseRepresentation
bin1100101111011011…
…0011111010000000
322211100121021111120
43023312303322000
524001024040412
61323213312240
7150516511032
oct31366637200
98740537446
103420143232
1114a5644260
127b5495680
134267594bc
14246331c52
151503d5b8c
hexcbdb3e80

3420143232 has 128 divisors (see below), whose sum is σ = 10493841600. Its totient is φ = 975421440.

The previous prime is 3420143197. The next prime is 3420143257. The reversal of 3420143232 is 2323410243.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47994 + ... + 95622.

Almost surely, 23420143232 is an apocalyptic number.

3420143232 is a gapful number since it is divisible by the number (32) 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 3420143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246920800).

3420143232 is an abundant number, since it is smaller than the sum of its proper divisors (7073698368).

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

3420143232 is a wasteful number, since it uses less digits than its factorization.

3420143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47674 (or 47662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3420143232 is about 58481.9906637932. The cubic root of 3420143232 is about 1506.6582872986.

Adding to 3420143232 its reverse (2323410243), we get a palindrome (5743553475).

The spelling of 3420143232 in words is "three billion, four hundred twenty million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 47629 71808 95258 142887 190516 285774 381032 523919 571548 762064 809693 1047838 1143096 1524128 1571757 1619386 2095676 2286192 2429079 3048256 3143514 3238772 4191352 4572384 4858158 6096512 6287028 6477544 8382704 8906623 9144768 9716316 12574056 12955088 16765408 17813246 18289536 19432632 25148112 25910176 26719869 33530816 35626492 38865264 50296224 51820352 53439738 67061632 71252984 77730528 100592448 103640704 106879476 142505968 155461056 201184896 213758952 285011936 310922112 427517904 570023872 855035808 1140047744 1710071616 3420143232