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3405515124 = 2231129230677
BaseRepresentation
bin1100101011111100…
…0000100101110100
322210100002002111210
43022333000211310
523433302440444
61321532001420
7150251254344
oct31277004564
98710062453
103405515124
111498362a10
127b0600270
1342370720b
14244404d24
1514de967b9
hexcafc0974

3405515124 has 72 divisors (see below), whose sum is σ = 8978100768. Its totient is φ = 996356480.

The previous prime is 3405515117. The next prime is 3405515129. The reversal of 3405515124 is 4215155043.

3405515124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3405515091 and 3405515100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405515129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95674 + ... + 126350.

It is an arithmetic number, because the mean of its divisors is an integer number (124695844).

Almost surely, 23405515124 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 3405515124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489050384).

3405515124 is an abundant number, since it is smaller than the sum of its proper divisors (5572585644).

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

3405515124 is a wasteful number, since it uses less digits than its factorization.

3405515124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30753 (or 30722 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 3405515124 is about 58356.7915841850. The cubic root of 3405515124 is about 1504.5072022978.

The spelling of 3405515124 in words is "three billion, four hundred five million, five hundred fifteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 841 957 1276 1682 1914 2523 3364 3828 5046 9251 10092 18502 27753 30677 37004 55506 61354 92031 111012 122708 184062 337447 368124 674894 889633 1012341 1349788 1779266 2024682 2668899 3558532 4049364 5337798 9785963 10675596 19571926 25799357 29357889 39143852 51598714 58715778 77398071 103197428 117431556 154796142 283792927 309592284 567585854 851378781 1135171708 1702757562 3405515124