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3545444364 = 22371115125411
BaseRepresentation
bin1101001101010011…
…0011000000001100
3100011002101020100020
43103110303000030
524230113204424
61343451102140
7153600531330
oct32324630014
910132336306
103545444364
11155a346910
1282b441950
134466bb297
14258c2b7c0
1515b3d7079
hexd353300c

3545444364 has 96 divisors (see below), whose sum is σ = 10382733312. Its totient is φ = 914760000.

The previous prime is 3545444341. The next prime is 3545444423. The reversal of 3545444364 is 4634445453.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 126819 + ... + 152229.

It is an arithmetic number, because the mean of its divisors is an integer number (108153472).

Almost surely, 23545444364 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 3545444364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191366656).

3545444364 is an abundant number, since it is smaller than the sum of its proper divisors (6837288948).

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

3545444364 is a wasteful number, since it uses less digits than its factorization.

3545444364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25587 (or 25585 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The square root of 3545444364 is about 59543.6341181826. The cubic root of 3545444364 is about 1524.8374799844.

The spelling of 3545444364 in words is "three billion, five hundred forty-five million, four hundred forty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 151 154 231 302 308 453 462 604 906 924 1057 1661 1812 2114 3171 3322 4228 4983 6342 6644 9966 11627 12684 19932 23254 25411 34881 46508 50822 69762 76233 101644 139524 152466 177877 279521 304932 355754 533631 559042 711508 838563 1067262 1118084 1677126 1956647 2134524 3354252 3837061 3913294 5869941 7674122 7826588 11511183 11739882 15348244 23022366 23479764 26859427 42207671 46044732 53718854 80578281 84415342 107437708 126623013 161156562 168830684 253246026 295453697 322313124 506492052 590907394 886361091 1181814788 1772722182 3545444364