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3412400442 = 2311538997113
BaseRepresentation
bin1100101101100101…
…0001100100111010
322210211000220101120
43023121101210322
523442033303232
61322335330110
7150363632223
oct31331214472
98724026346
103412400442
1114a1235a60
127b2980936
13424c78179
142452b824a
1514e8a692c
hexcb65193a

3412400442 has 128 divisors (see below), whose sum is σ = 7818612480. Its totient is φ = 984023040.

The previous prime is 3412400419. The next prime is 3412400447. The reversal of 3412400442 is 2440042143.

It is a happy number.

3412400442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3412400447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30198178 + ... + 30198290.

It is an arithmetic number, because the mean of its divisors is an integer number (61082910).

Almost surely, 23412400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909306240).

3412400442 is an abundant number, since it is smaller than the sum of its proper divisors (4406212038).

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

3412400442 is a wasteful number, since it uses less digits than its factorization.

3412400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

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

The square root of 3412400442 is about 58415.7550837101. The cubic root of 3412400442 is about 1505.5204642807.

Adding to 3412400442 its reverse (2440042143), we get a palindrome (5852442585).

The spelling of 3412400442 in words is "three billion, four hundred twelve million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 89 97 106 113 159 178 194 226 267 291 318 339 534 582 583 678 979 1067 1166 1243 1749 1958 2134 2486 2937 3201 3498 3729 4717 5141 5874 5989 6402 7458 8633 9434 10057 10282 10961 11978 14151 15423 17266 17967 20114 21922 25899 28302 30171 30846 32883 35934 51798 51887 56551 60342 65766 65879 94963 103774 110627 113102 120571 131758 155661 169653 189926 197637 221254 241142 284889 311322 331881 339306 361713 395274 457549 533021 569778 580933 663762 723426 915098 975529 1066042 1161866 1372647 1599063 1742799 1951058 2745294 2926587 3198126 3485598 5033039 5853174 5863231 6390263 10066078 10730819 11726462 12780526 15099117 17589693 19170789 21461638 30198234 32192457 35179386 38341578 51703037 64384914 103406074 155109111 310218222 568733407 1137466814 1706200221 3412400442