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3433334940 = 22325722931433
BaseRepresentation
bin1100110010100100…
…1000100010011100
322212021102111010100
43030221020202130
524012413204230
61324404141100
7151036602600
oct31451104234
98767374110
103433334940
1115020343a2
127b9997790
134293c7a49
14247da7500
1515163e660
hexcca4889c

3433334940 has 432 divisors, whose sum is σ = 12966670080. Its totient is φ = 731566080.

The previous prime is 3433334929. The next prime is 3433334951. The reversal of 3433334940 is 494333343.

It is an interprime number because it is at equal distance from previous prime (3433334929) and next prime (3433334951).

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 = 3433334895 and 3433334904.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7928964 + ... + 7929396.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 23433334940 is an apocalyptic number.

3433334940 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 3433334940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

3433334940 is an abundant number, since it is smaller than the sum of its proper divisors (9533335140).

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

3433334940 is a wasteful number, since it uses less digits than its factorization.

3433334940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The square root of 3433334940 is about 58594.6664808325. Note that the first 3 decimals coincide. The cubic root of 3433334940 is about 1508.5928941167.

The spelling of 3433334940 in words is "three billion, four hundred thirty-three million, three hundred thirty-four thousand, nine hundred forty".