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3445129044 = 22337393001
BaseRepresentation
bin1100110101011000…
…0111111101010100
322220002121200121000
43031112013331110
524023423112134
61325505023300
7151242054000
oct31526077524
98802550530
103445129044
11150875a495
12801924b30
1342b9970c6
14249797700
151526bde99
hexcd587f54

3445129044 has 96 divisors (see below), whose sum is σ = 10416224000. Its totient is φ = 984312000.

The previous prime is 3445129031. The next prime is 3445129087. The reversal of 3445129044 is 4409215443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9457 + ... + 83544.

Almost surely, 23445129044 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 3445129044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208112000).

3445129044 is an abundant number, since it is smaller than the sum of its proper divisors (6971094956).

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

3445129044 is a wasteful number, since it uses less digits than its factorization.

3445129044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93035 (or 93013 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3445129044 is about 58695.2216453776. The cubic root of 3445129044 is about 1510.3183463996.

The spelling of 3445129044 in words is "three billion, four hundred forty-five million, one hundred twenty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 37044 93001 186002 279003 372004 558006 651007 837009 1116012 1302014 1674018 1953021 2511027 2604028 3348036 3906042 4557049 5022054 5859063 7812084 9114098 10044108 11718126 13671147 17577189 18228196 23436252 27342294 31899343 35154378 41013441 54684588 63798686 70308756 82026882 95698029 123040323 127597372 164053764 191396058 246080646 287094087 382792116 492161292 574188174 861282261 1148376348 1722564522 3445129044