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3465050940 = 2233513243883
BaseRepresentation
bin1100111010001000…
…0111101100111100
322221111002211022000
43032202013230330
524044023112230
61331500022300
7151603306221
oct31642075474
98844084260
103465050940
111518a2706a
12808531990
13432b50b00
1424c2a1948
15154306b60
hexce887b3c

3465050940 has 288 divisors, whose sum is σ = 11958186240. Its totient is φ = 832156416.

The previous prime is 3465050929. The next prime is 3465050969. The reversal of 3465050940 is 490505643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3465050895 and 3465050904.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3923739 + ... + 3924621.

It is an arithmetic number, because the mean of its divisors is an integer number (41521480).

Almost surely, 23465050940 is an apocalyptic number.

3465050940 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 3465050940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979093120).

3465050940 is an abundant number, since it is smaller than the sum of its proper divisors (8493135300).

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

3465050940 is a wasteful number, since it uses less digits than its factorization.

3465050940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3465050940 is about 58864.6832999210. The cubic root of 3465050940 is about 1513.2239554078.

The spelling of 3465050940 in words is "three billion, four hundred sixty-five million, fifty thousand, nine hundred forty".