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3455146436 = 227172597237
BaseRepresentation
bin1100110111110001…
…0101100111000100
322220210110121212112
43031330111213010
524034004141221
61330503440152
7151423155140
oct31574254704
98823417775
103455146436
111513381725
12805156058
13430a93861
1424ac44220
151534ec15b
hexcdf159c4

3455146436 has 72 divisors (see below), whose sum is σ = 7466141760. Its totient is φ = 1369861632.

The previous prime is 3455146423. The next prime is 3455146441. The reversal of 3455146436 is 6346415543.

It is a junction number, because it is equal to n+sod(n) for n = 3455146393 and 3455146402.

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, 473810 + ... + 481046.

Almost surely, 23455146436 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 3455146436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733070880).

3455146436 is an abundant number, since it is smaller than the sum of its proper divisors (4010995324).

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

3455146436 is a wasteful number, since it uses less digits than its factorization.

3455146436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7322 counting only the distinct ones).

The product of its digits is 518400, while the sum is 41.

The square root of 3455146436 is about 58780.4936692437. The cubic root of 3455146436 is about 1511.7807793415.

The spelling of 3455146436 in words is "three billion, four hundred fifty-five million, one hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 34 59 68 118 119 236 238 289 413 476 578 826 1003 1156 1652 2006 2023 4012 4046 7021 7237 8092 14042 14474 17051 28084 28948 34102 50659 68204 101318 119357 123029 202636 238714 246058 426983 477428 492116 853966 861203 1707932 1722406 2091493 2988881 3444812 4182986 5977762 7258711 8365972 11955524 14517422 14640451 29034844 29280902 50810977 58561804 101621954 123398087 203243908 246796174 493592348 863786609 1727573218 3455146436