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3341919840 = 2535717411427
BaseRepresentation
bin1100011100110001…
…1010011001100000
322121220102010011220
43013030122121200
523321012413330
61311340535040
7145546564350
oct30714323140
98556363156
103341919840
111465476926
12793251480
1341349b97c
14239bacb60
151485d3710
hexc731a660

3341919840 has 384 divisors, whose sum is σ = 13058454528. Its totient is φ = 700907520.

The previous prime is 3341919827. The next prime is 3341919851. The reversal of 3341919840 is 489191433.

It is a super-2 number, since 2×33419198402 = 22336856433971251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3341919792 and 3341919801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2341207 + ... + 2342633.

It is an arithmetic number, because the mean of its divisors is an integer number (34006392).

Almost surely, 23341919840 is an apocalyptic number.

3341919840 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 3341919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529227264).

3341919840 is an abundant number, since it is smaller than the sum of its proper divisors (9716534688).

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

3341919840 is a wasteful number, since it uses less digits than its factorization.

3341919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3341919840 is about 57809.3404217692. The cubic root of 3341919840 is about 1495.0831361321.

The spelling of 3341919840 in words is "three billion, three hundred forty-one million, nine hundred nineteen thousand, eight hundred forty".