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631734948 = 22321359137167
BaseRepresentation
bin100101101001111…
…000001010100100
31122000201110102200
4211221320022210
52243211004243
6142404134500
721440441565
oct4551701244
91560643380
10631734948
112a46638a9
12157697430
13a0b5a480
145dc8816c
153a6daad3
hex25a782a4

631734948 has 144 divisors (see below), whose sum is σ = 1772184960. Its totient is φ = 188554752.

The previous prime is 631734911. The next prime is 631734967. The reversal of 631734948 is 849437136.

631734948 is a `hidden beast` number, since 631 + 7 + 3 + 4 + 9 + 4 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3782761 + ... + 3782927.

It is an arithmetic number, because the mean of its divisors is an integer number (12306840).

Almost surely, 2631734948 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 631734948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886092480).

631734948 is an abundant number, since it is smaller than the sum of its proper divisors (1140450012).

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

631734948 is a wasteful number, since it uses less digits than its factorization.

631734948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 631734948 is about 25134.3380258960. The cubic root of 631734948 is about 858.0481007151.

It can be divided in two parts, 63173 and 4948, that added together give a square (68121 = 2612).

The spelling of 631734948 in words is "six hundred thirty-one million, seven hundred thirty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 137 156 167 177 234 236 274 334 354 411 468 501 531 548 668 708 767 822 1002 1062 1233 1503 1534 1644 1781 2004 2124 2171 2301 2466 3006 3068 3562 4342 4602 4932 5343 6012 6513 6903 7124 8083 8684 9204 9853 10686 13026 13806 16029 16166 19539 19706 21372 22879 24249 26052 27612 29559 32058 32332 39078 39412 45758 48498 59118 64116 68637 72747 78156 88677 91516 96996 105079 118236 128089 137274 145494 177354 205911 210158 256178 274548 290988 297427 315237 354708 384267 411822 420316 512356 594854 630474 768534 823644 892281 945711 1152801 1189708 1260948 1349861 1537068 1784562 1891422 2305602 2676843 2699722 3569124 3782844 4049583 4611204 5353686 5399444 8099166 10707372 12148749 16198332 17548193 24297498 35096386 48594996 52644579 70192772 105289158 157933737 210578316 315867474 631734948