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3354254640 = 2432511479011
BaseRepresentation
bin1100011111101101…
…1101110100110000
322122202121210100100
43013323131310300
523332142122030
61312501152400
7146056460022
oct30773356460
98582553310
103354254640
111471431180
127973bb700
13415bca179
1423b6a0012
1514971d360
hexc7eddd30

3354254640 has 240 divisors, whose sum is σ = 12551625216. Its totient is φ = 795763200.

The previous prime is 3354254627. The next prime is 3354254671. The reversal of 3354254640 is 464524533.

3354254640 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 2 + 5 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33542546402 = 22502048379923059200, which contains 22 as substring.

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 = 3354254595 and 3354254604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367735 + ... + 376745.

Almost surely, 23354254640 is an apocalyptic number.

3354254640 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 3354254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275812608).

3354254640 is an abundant number, since it is smaller than the sum of its proper divisors (9197370576).

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

3354254640 is a wasteful number, since it uses less digits than its factorization.

3354254640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3354254640 is about 57915.9273430030. The cubic root of 3354254640 is about 1496.9202946038.

The spelling of 3354254640 in words is "three billion, three hundred fifty-four million, two hundred fifty-four thousand, six hundred forty".