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3040358040 = 23325231312803
BaseRepresentation
bin1011010100111000…
…0010111010011000
321211212222012011100
42311032002322120
522211312424130
61221405231400
7135225421416
oct26516027230
97755865140
103040358040
111320225aa5
1270a262560
13395b75035
1420bb102b6
1512bdb6c60
hexb5382e98

3040358040 has 192 divisors, whose sum is σ = 10393194240. Its totient is φ = 769317120.

The previous prime is 3040358023. The next prime is 3040358071. The reversal of 3040358040 is 408530403.

It is a happy number.

3040358040 is a `hidden beast` number, since 3 + 0 + 40 + 3 + 580 + 40 = 666.

It is a super-2 number, since 2×30403580402 = 18487554022785283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3040357995 and 3040358013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083279 + ... + 1086081.

It is an arithmetic number, because the mean of its divisors is an integer number (54131220).

Almost surely, 23040358040 is an apocalyptic number.

3040358040 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 3040358040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196597120).

3040358040 is an abundant number, since it is smaller than the sum of its proper divisors (7352836200).

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

3040358040 is a wasteful number, since it uses less digits than its factorization.

3040358040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3040358040 is about 55139.4417817228. The cubic root of 3040358040 is about 1448.6881579412.

Adding to 3040358040 its reverse (408530403), we get a palindrome (3448888443).

The spelling of 3040358040 in words is "three billion, forty million, three hundred fifty-eight thousand, forty".