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630348544 = 2872311621
BaseRepresentation
bin100101100100100…
…101101100000000
31121221010000122101
4211210211230000
52242332123134
6142314320144
721422605600
oct4544455400
91557100571
10630348544
112a38a7211
12157129054
13a0793407
145da06c00
153a514e14
hex25925b00

630348544 has 108 divisors (see below), whose sum is σ = 1511807808. Its totient is φ = 261273600.

The previous prime is 630348527. The next prime is 630348577. The reversal of 630348544 is 445843036.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 388054 + ... + 389674.

Almost surely, 2630348544 is an apocalyptic number.

630348544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755903904).

630348544 is an abundant number, since it is smaller than the sum of its proper divisors (881459264).

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

630348544 is a wasteful number, since it uses less digits than its factorization.

630348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 630348544 is about 25106.7429986448. The cubic root of 630348544 is about 857.4199508782.

The spelling of 630348544 in words is "six hundred thirty million, three hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 784 868 896 992 1519 1568 1621 1736 1792 1984 3038 3136 3242 3472 3968 6076 6272 6484 6944 7936 11347 12152 12544 12968 13888 22694 24304 25936 27776 45388 48608 50251 51872 55552 79429 90776 97216 100502 103744 158858 181552 194432 201004 207488 317716 351757 363104 388864 402008 414976 635432 703514 726208 804016 1270864 1407028 1452416 1608032 2462299 2541728 2814056 2904832 3216064 4924598 5083456 5628112 6432128 9849196 10166912 11256224 12864256 19698392 20333824 22512448 39396784 45024896 78793568 90049792 157587136 315174272 630348544