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3845215440 = 243251121923101
BaseRepresentation
bin1110010100110001…
…0101010011010000
3100220222110011221200
43211030111103100
530333333343230
61433320151200
7164200535433
oct34514252320
910828404850
103845215440
1116a3584300
128b3908500
13493838b11
1428698181a
1517789d160
hexe53154d0

3845215440 has 720 divisors, whose sum is σ = 15745242240. Its totient is φ = 836352000.

The previous prime is 3845215411. The next prime is 3845215447. The reversal of 3845215440 is 445125483.

It is a happy number.

3845215440 is a `hidden beast` number, since 3 + 84 + 521 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 3845215395 and 3845215404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845215447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38071390 + ... + 38071490.

It is an arithmetic number, because the mean of its divisors is an integer number (21868392).

Almost surely, 23845215440 is an apocalyptic number.

3845215440 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 3845215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872621120).

3845215440 is an abundant number, since it is smaller than the sum of its proper divisors (11900026800).

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

3845215440 is a wasteful number, since it uses less digits than its factorization.

3845215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 3845215440 is about 62009.8011607843. The cubic root of 3845215440 is about 1566.6556856531.

The spelling of 3845215440 in words is "three billion, eight hundred forty-five million, two hundred fifteen thousand, four hundred forty".