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1234111424 = 26713313677
BaseRepresentation
bin100100110001111…
…0000101111000000
310012000012100121112
41021203300233000
510011413031144
6322243142452
742403526330
oct11143605700
93160170545
101234111424
115836951a7
122a5374a28
131688a8960
14b9c8d0c0
157352799e
hex498f0bc0

1234111424 has 112 divisors (see below), whose sum is σ = 3028175808. Its totient is φ = 485941248.

The previous prime is 1234111393. The next prime is 1234111433. The reversal of 1234111424 is 4241114321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1234111424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822574 + ... + 1823250.

It is an arithmetic number, because the mean of its divisors is an integer number (27037284).

Almost surely, 21234111424 is an apocalyptic number.

1234111424 is a gapful number since it is divisible by the number (14) 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 1234111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514087904).

1234111424 is an abundant number, since it is smaller than the sum of its proper divisors (1794064384).

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

1234111424 is a wasteful number, since it uses less digits than its factorization.

1234111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 1234111424 is about 35129.9220608301. The cubic root of 1234111424 is about 1072.6337494189.

Adding to 1234111424 its reverse (4241114321), we get a palindrome (5475225745).

The spelling of 1234111424 in words is "one billion, two hundred thirty-four million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 313 364 416 448 626 677 728 832 1252 1354 1456 2191 2504 2708 2912 4069 4382 4739 5008 5416 5824 8138 8764 8801 9478 10016 10832 16276 17528 17602 18956 20032 21664 28483 32552 35056 35204 37912 43328 56966 61607 65104 70112 70408 75824 113932 123214 130208 140224 140816 151648 211901 227864 246428 260416 281632 303296 423802 455728 492856 563264 847604 911456 985712 1483307 1695208 1822912 1971424 2754713 2966614 3390416 3942848 5509426 5933228 6780832 11018852 11866456 13561664 19282991 22037704 23732912 38565982 44075408 47465824 77131964 88150816 94931648 154263928 176301632 308527856 617055712 1234111424