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3464540640 = 253351172907
BaseRepresentation
bin1100111010000000…
…1011000111100000
322221110010220022000
43032200023013200
524043410300030
61331441044000
7151566052401
oct31640130740
98843126260
103464540640
111518708730
12808326600
13432a02762
1424c1ab9a8
15154255860
hexce80b1e0

3464540640 has 192 divisors, whose sum is σ = 13228427520. Its totient is φ = 839877120.

The previous prime is 3464540627. The next prime is 3464540641. The reversal of 3464540640 is 460454643.

3464540640 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 5 + 4 + 0 + 640 = 666.

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 = 3464540595 and 3464540604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464540641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11067 + ... + 83973.

It is an arithmetic number, because the mean of its divisors is an integer number (68898060).

Almost surely, 23464540640 is an apocalyptic number.

3464540640 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 3464540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614213760).

3464540640 is an abundant number, since it is smaller than the sum of its proper divisors (9763886880).

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

3464540640 is a wasteful number, since it uses less digits than its factorization.

3464540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72942 (or 72928 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3464540640 is about 58860.3486228208. The cubic root of 3464540640 is about 1513.1496673133.

The spelling of 3464540640 in words is "three billion, four hundred sixty-four million, five hundred forty thousand, six hundred forty".