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3460380625 = 541321812
BaseRepresentation
bin1100111001000001…
…0011011111010001
322221011022112211101
43032100103133101
524041324140000
61331211544401
7151515515152
oct31620233721
98834275741
103460380625
1115163271a9
12806a5b101
13431ba7100
1424b807929
15153bd2e6a
hexce4137d1

3460380625 has 45 divisors (see below), whose sum is σ = 4708312389. Its totient is φ = 2541240000.

The previous prime is 3460380571. The next prime is 3460380629. The reversal of 3460380625 is 5260830643.

The square root of 3460380625 is 58825.

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

3460380625 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 22 ways, for example, as 159188689 + 3301191936 = 12617^2 + 57456^2 .

It is not a de Polignac number, because 3460380625 - 217 = 3460249553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3460380629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19118035 + ... + 19118215.

Almost surely, 23460380625 is an apocalyptic number.

3460380625 is the 58825-th square number.

3460380625 is the 29413-rd centered octagonal number.

It is an amenable number.

3460380625 is a deficient number, since it is larger than the sum of its proper divisors (1247931764).

3460380625 is an frugal number, since it uses more digits than its factorization.

3460380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The cubic root of 3460380625 is about 1512.5437912781.

The spelling of 3460380625 in words is "three billion, four hundred sixty million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 181 325 625 845 905 1625 2353 4225 4525 8125 11765 21125 22625 30589 32761 58825 105625 113125 152945 163805 294125 425893 764725 819025 1470625 2129465 3823625 4095125 5536609 10647325 19118125 20475625 27683045 53236625 138415225 266183125 692076125 3460380625