Search a number
-
+
3451345000 = 2354690269
BaseRepresentation
bin1100110110110111…
…0101100001101000
322220112022111021121
43031231311201220
524032021020000
61330250145024
7151345643215
oct31555654150
98815274247
103451345000
111511215644
12803a22174
1343006249c
1424a534b0c
15152eeab1a
hexcdb75868

3451345000 has 40 divisors (see below), whose sum is σ = 8086513050. Its totient is φ = 1380536000.

The previous prime is 3451344989. The next prime is 3451345021. The reversal of 3451345000 is 5431543.

It can be written as a sum of positive squares in 5 ways, for example, as 672157476 + 2779187524 = 25926^2 + 52718^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×34513450003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 340135 + ... + 350134.

Almost surely, 23451345000 is an apocalyptic number.

It is an amenable number.

3451345000 is an abundant number, since it is smaller than the sum of its proper divisors (4635168050).

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

3451345000 is an equidigital number, since it uses as much as digits as its factorization.

3451345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690295 (or 690276 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 3451345000 is about 58748.1489070081. The cubic root of 3451345000 is about 1511.2261432439.

Adding to 3451345000 its reverse (5431543), we get a palindrome (3456776543).

The spelling of 3451345000 in words is "three billion, four hundred fifty-one million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 690269 1380538 2761076 3451345 5522152 6902690 13805380 17256725 27610760 34513450 69026900 86283625 138053800 172567250 345134500 431418125 690269000 862836250 1725672500 3451345000