Search a number
-
+
630277632 = 2933127359
BaseRepresentation
bin100101100100010…
…100011000000000
31121220222102101000
4211210110120000
52242322341012
6142313012000
721422162055
oct4544243000
91556872330
10630277632
112a3858a06
121570b4000
13a076a05a
145d9c902c
153a4edddc
hex25914600

630277632 has 160 divisors (see below), whose sum is σ = 1885593600. Its totient is φ = 207857664.

The previous prime is 630277621. The next prime is 630277649. The reversal of 630277632 is 236772036.

It is a super-3 number, since 3×6302776323 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755469 + ... + 1755827.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2630277632 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 630277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942796800).

630277632 is an abundant number, since it is smaller than the sum of its proper divisors (1255315968).

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

630277632 is a wasteful number, since it uses less digits than its factorization.

630277632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 630277632 is about 25105.3307486677. The cubic root of 630277632 is about 857.3877974269.

The spelling of 630277632 in words is "six hundred thirty million, two hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 359 381 384 432 508 512 576 718 762 768 864 1016 1077 1143 1152 1436 1524 1536 1728 2032 2154 2286 2304 2872 3048 3231 3429 3456 4064 4308 4572 4608 5744 6096 6462 6858 6912 8128 8616 9144 9693 11488 12192 12924 13716 13824 16256 17232 18288 19386 22976 24384 25848 27432 32512 34464 36576 38772 45593 45952 48768 51696 54864 65024 68928 73152 77544 91186 91904 97536 103392 109728 136779 137856 146304 155088 182372 183808 195072 206784 219456 273558 275712 292608 310176 364744 410337 413568 438912 547116 551424 585216 620352 729488 820674 827136 877824 1094232 1231011 1240704 1458976 1641348 1654272 1755648 2188464 2462022 2481408 2917952 3282696 4376928 4924044 4962816 5835904 6565392 8753856 9848088 11671808 13130784 17507712 19696176 23343616 26261568 35015424 39392352 52523136 70030848 78784704 105046272 157569408 210092544 315138816 630277632