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3401141112 = 2332293834253
BaseRepresentation
bin1100101010111001…
…0100101101111000
322210000211212111100
43022232110231320
523431143003422
61321254131400
7150166136205
oct31256245570
98700755440
103401141112
111495945726
127ab050b60
13422835345
142439c6cac
1514d8d07ac
hexcab94b78

3401141112 has 96 divisors (see below), whose sum is σ = 9556185600. Its totient is φ = 1091505408.

The previous prime is 3401141089. The next prime is 3401141131. The reversal of 3401141112 is 2111411043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 797578 + ... + 801830.

It is an arithmetic number, because the mean of its divisors is an integer number (99543600).

Almost surely, 23401141112 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 3401141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778092800).

3401141112 is an abundant number, since it is smaller than the sum of its proper divisors (6155044488).

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

3401141112 is a wasteful number, since it uses less digits than its factorization.

3401141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3401141112 is about 58319.3030822557. The cubic root of 3401141112 is about 1503.8628013051.

Adding to 3401141112 its reverse (2111411043), we get a palindrome (5512552155).

The spelling of 3401141112 in words is "three billion, four hundred one million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 383 522 696 766 1044 1149 1532 2088 2298 3064 3447 4253 4596 6894 8506 9192 11107 12759 13788 17012 22214 25518 27576 33321 34024 38277 44428 51036 66642 76554 88856 99963 102072 123337 133284 153108 199926 246674 266568 306216 370011 399852 493348 740022 799704 986696 1110033 1480044 1628899 2220066 2960088 3257798 4440132 4886697 6515596 8880264 9773394 13031192 14660091 19546788 29320182 39093576 47238071 58640364 94476142 117280728 141714213 188952284 283428426 377904568 425142639 566856852 850285278 1133713704 1700570556 3401141112