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630269376 = 263111072789
BaseRepresentation
bin100101100100010…
…010010111000000
31121220222000001020
4211210102113000
52242322110001
6142312505440
721422126022
oct4544222700
91556860036
10630269376
112a3852790
121570ab280
13a0766379
145d9c6012
153a4eb736
hex259125c0

630269376 has 112 divisors (see below), whose sum is σ = 1836846720. Its totient is φ = 189137920.

The previous prime is 630269369. The next prime is 630269413. The reversal of 630269376 is 673962036.

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 15 ways as a sum of consecutive naturals, for example, 224590 + ... + 227378.

Almost surely, 2630269376 is an apocalyptic number.

630269376 is a gapful number since it is divisible by the number (66) 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 630269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918423360).

630269376 is an abundant number, since it is smaller than the sum of its proper divisors (1206577344).

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

630269376 is a wasteful number, since it uses less digits than its factorization.

630269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 630269376 is about 25105.1663208990. The cubic root of 630269376 is about 857.3840537726.

The spelling of 630269376 in words is "six hundred thirty million, two hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 132 176 192 214 264 321 352 428 528 642 704 856 1056 1177 1284 1712 2112 2354 2568 2789 3424 3531 4708 5136 5578 6848 7062 8367 9416 10272 11156 14124 16734 18832 20544 22312 28248 30679 33468 37664 44624 56496 61358 66936 75328 89248 92037 112992 122716 133872 178496 184074 225984 245432 267744 298423 368148 490864 535488 596846 736296 895269 981728 1193692 1472592 1790538 1963456 2387384 2945184 3282653 3581076 4774768 5890368 6565306 7162152 9549536 9847959 13130612 14324304 19099072 19695918 26261224 28648608 39391836 52522448 57297216 78783672 105044896 157567344 210089792 315134688 630269376