Search a number
-
+
3046265040 = 24357131011381
BaseRepresentation
bin1011010110010010…
…0101000011010000
321212022002022001010
42311210211003100
522214320440130
61222140010520
7135326553120
oct26544450320
97768068033
103046265040
1113235a0015
12710230a40
133971628c0
1420c80ac80
1512c6820b0
hexb59250d0

3046265040 has 320 divisors, whose sum is σ = 11746248192. Its totient is φ = 635904000.

The previous prime is 3046265029. The next prime is 3046265051. The reversal of 3046265040 is 405626403.

It is an interprime number because it is at equal distance from previous prime (3046265029) and next prime (3046265051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3046264989 and 3046265007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2205150 + ... + 2206530.

Almost surely, 23046265040 is an apocalyptic number.

3046265040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3046265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873124096).

3046265040 is an abundant number, since it is smaller than the sum of its proper divisors (8699983152).

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

3046265040 is a wasteful number, since it uses less digits than its factorization.

3046265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3046265040 is about 55192.9799884007. The cubic root of 3046265040 is about 1449.6257520071.

The spelling of 3046265040 in words is "three billion, forty-six million, two hundred sixty-five thousand, forty".