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2434625664 = 27313814591
BaseRepresentation
bin1001000100011101…
…0111000010000000
320021200011210112220
42101013113002000
514441231010124
61041330251040
7114221656002
oct22107270200
96250153486
102434625664
11103a312329
1257b426a80
132ca520203
141914b4372
15e3b15879
hex911d7080

2434625664 has 64 divisors (see below), whose sum is σ = 6473066880. Its totient is φ = 810777600.

The previous prime is 2434625663. The next prime is 2434625671. The reversal of 2434625664 is 4665264342.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2434625663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528009 + ... + 532599.

It is an arithmetic number, because the mean of its divisors is an integer number (101141670).

Almost surely, 22434625664 is an apocalyptic number.

2434625664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2434625664 is an abundant number, since it is smaller than the sum of its proper divisors (4038441216).

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

2434625664 is a wasteful number, since it uses less digits than its factorization.

2434625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989 (or 5977 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The square root of 2434625664 is about 49341.9260264534. The cubic root of 2434625664 is about 1345.2739479670.

The spelling of 2434625664 in words is "two billion, four hundred thirty-four million, six hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1381 2762 4143 4591 5524 8286 9182 11048 13773 16572 18364 22096 27546 33144 36728 44192 55092 66288 73456 88384 110184 132576 146912 176768 220368 265152 293824 440736 530304 587648 881472 1762944 6340171 12680342 19020513 25360684 38041026 50721368 76082052 101442736 152164104 202885472 304328208 405770944 608656416 811541888 1217312832 2434625664