Search a number
-
+
3378677625 = 325329103561
BaseRepresentation
bin1100100101100010…
…1000011101111001
322201110120121101100
43021120220131321
523404420141000
61315132442013
7146504200041
oct31130503571
98643517340
103378677625
1114841a2564
127a3619309
1341ac9b83b
14240a1a721
1514b944a00
hexc9628779

3378677625 has 48 divisors (see below), whose sum is σ = 6300712080. Its totient is φ = 1739808000.

The previous prime is 3378677623. The next prime is 3378677651. The reversal of 3378677625 is 5267768733.

3378677625 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 6 + 7 + 7 + 625 = 666.

3378677625 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 8 ways, for example, as 1912400361 + 1466277264 = 43731^2 + 38292^2 .

It is not a de Polignac number, because 3378677625 - 21 = 3378677623 is a prime.

It is a super-2 number, since 2×33786776252 = 22830924987351281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3378677623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19156 + ... + 84405.

It is an arithmetic number, because the mean of its divisors is an integer number (131264835).

Almost surely, 23378677625 is an apocalyptic number.

It is an amenable number.

3378677625 is a deficient number, since it is larger than the sum of its proper divisors (2922034455).

3378677625 is a wasteful number, since it uses less digits than its factorization.

3378677625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103611 (or 103598 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 3378677625 is about 58126.3935316823. The cubic root of 3378677625 is about 1500.5446355575.

The spelling of 3378677625 in words is "three billion, three hundred seventy-eight million, six hundred seventy-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 32625 103561 310683 517805 932049 1553415 2589025 3003269 4660245 7767075 9009807 12945125 15016345 23301225 27029421 38835375 45049035 75081725 116506125 135147105 225245175 375408625 675735525 1126225875 3378677625