Search a number
-
+
34560630 = 232513109271
BaseRepresentation
bin1000001111010…
…1101001110110
32102000212021100
42003311221312
532321420010
63232430530
7566521566
oct203655166
972025240
1034560630
1118565a05
12b6a8446
137210aa0
144838da6
15307a2c0
hex20f5a76

34560630 has 96 divisors (see below), whose sum is σ = 98017920. Its totient is φ = 8398080.

The previous prime is 34560623. The next prime is 34560641. The reversal of 34560630 is 3606543.

It is a junction number, because it is equal to n+sod(n) for n = 34560594 and 34560603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127395 + ... + 127665.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 234560630 is an apocalyptic number.

34560630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34560630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

34560630 is an abundant number, since it is smaller than the sum of its proper divisors (63457290).

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

34560630 is a wasteful number, since it uses less digits than its factorization.

34560630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 34560630 is about 5878.8289650236. The cubic root of 34560630 is about 325.7320932422.

The spelling of 34560630 in words is "thirty-four million, five hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 271 327 390 542 545 585 654 813 981 1090 1170 1355 1417 1626 1635 1962 2439 2710 2834 3270 3523 4065 4251 4878 4905 7046 7085 8130 8502 9810 10569 12195 12753 14170 17615 21138 21255 24390 25506 29539 31707 35230 42510 52845 59078 63414 63765 88617 105690 127530 147695 158535 177234 265851 295390 317070 384007 443085 531702 768014 886170 1152021 1329255 1920035 2304042 2658510 3456063 3840070 5760105 6912126 11520210 17280315 34560630