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34952680 = 23572171049
BaseRepresentation
bin1000010101010…
…1010111101000
32102202210001201
42011111113220
532421441210
63245053544
7603043600
oct205252750
972683051
1034952680
1118803514
12b8572b4
13731a379
1448dbc00
15310653a
hex21555e8

34952680 has 96 divisors (see below), whose sum is σ = 96957000. Its totient is φ = 11268096.

The previous prime is 34952677. The next prime is 34952693. The reversal of 34952680 is 8625943.

It can be written as a sum of positive squares in 4 ways, for example, as 34739236 + 213444 = 5894^2 + 462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32796 + ... + 33844.

Almost surely, 234952680 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 34952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48478500).

34952680 is an abundant number, since it is smaller than the sum of its proper divisors (62004320).

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

34952680 is a wasteful number, since it uses less digits than its factorization.

34952680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 34952680 is about 5912.0791604984. The cubic root of 34952680 is about 326.9591484784.

The spelling of 34952680 in words is "thirty-four million, nine hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1049 1190 1666 1960 2098 2380 3332 4165 4196 4760 5245 6664 7343 8330 8392 10490 14686 16660 17833 20980 29372 33320 35666 36715 41960 51401 58744 71332 73430 89165 102802 124831 142664 146860 178330 205604 249662 257005 293720 356660 411208 499324 514010 624155 713320 873817 998648 1028020 1248310 1747634 2056040 2496620 3495268 4369085 4993240 6990536 8738170 17476340 34952680