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3350896640 = 21357132931
BaseRepresentation
bin1100011110111010…
…1010000000000000
322122112022012000222
43013232222000000
523330312143030
61312301202212
7146016102650
oct30756520000
98575265028
103350896640
11146a548273
12796260368
134152c28a0
1423b068360
151492a83e5
hexc7baa000

3350896640 has 448 divisors, whose sum is σ = 10569000960. Its totient is φ = 990904320.

The previous prime is 3350896597. The next prime is 3350896691. The reversal of 3350896640 is 466980533.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33508966402 = 22457016583926579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3350896591 and 3350896600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108093425 + ... + 108093455.

It is an arithmetic number, because the mean of its divisors is an integer number (23591520).

Almost surely, 23350896640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284500480).

3350896640 is an abundant number, since it is smaller than the sum of its proper divisors (7218104320).

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

3350896640 is a wasteful number, since it uses less digits than its factorization.

3350896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 3350896640 is about 57886.9297855742. The cubic root of 3350896640 is about 1496.4205972298.

The spelling of 3350896640 in words is "three billion, three hundred fifty million, eight hundred ninety-six thousand, six hundred forty".