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3414649225 = 52132292312
BaseRepresentation
bin1100101110000111…
…0110100110001001
322210222021011010211
43023201312212021
523443122233400
61322455441121
7150422016361
oct31341664611
98728234124
103414649225
1114a2531559
127b36861a1
13425584900
142457019a1
1514eb9cdba
hexcb876989

3414649225 has 81 divisors (see below), whose sum is σ = 4906594719. Its totient is φ = 2356099200.

The previous prime is 3414649187. The next prime is 3414649237. The reversal of 3414649225 is 5229464143.

It is a happy number.

The square root of 3414649225 is 58435.

It is a perfect power (a square), and thus also a powerful number.

3414649225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3158777209 + 255872016 = 56203^2 + 15996^2 .

It is not a de Polignac number, because 3414649225 - 27 = 3414649097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110149960 + ... + 110149990.

Almost surely, 23414649225 is an apocalyptic number.

3414649225 is the 58435-th square number.

3414649225 is the 29218-th centered octagonal number.

It is an amenable number.

3414649225 is a deficient number, since it is larger than the sum of its proper divisors (1491945494).

3414649225 is a wasteful number, since it uses less digits than its factorization.

3414649225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The cubic root of 3414649225 is about 1505.8511059557.

The spelling of 3414649225 in words is "three billion, four hundred fourteen million, six hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 29 31 65 145 155 169 325 377 403 725 775 841 845 899 961 1885 2015 4205 4225 4495 4805 4901 5239 9425 10075 10933 11687 12493 21025 22475 24025 24505 26071 26195 27869 54665 58435 62465 122525 130355 130975 139345 142129 151931 162409 273325 292175 312325 338923 362297 651775 696725 710645 759655 808201 812045 1694615 1811485 3553225 3798275 4041005 4060225 4405999 4709861 8473075 9057425 10506613 20205025 22029995 23549305 52533065 110149975 117746525 136585969 262665325 682929845 3414649225