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3496794840 = 2333572116007
BaseRepresentation
bin1101000001101100…
…1101101011011000
3100000200211120202000
43100123031223120
524130134413330
61334552241000
7152440160100
oct32033155330
910020746660
103496794840
1115349387a0
128170a0160
134395b6796
142525a6200
15156ec7560
hexd06cdad8

3496794840 has 384 divisors, whose sum is σ = 14794099200. Its totient is φ = 726485760.

The previous prime is 3496794793. The next prime is 3496794841. The reversal of 3496794840 is 484976943.

It is a happy number.

3496794840 is a `hidden beast` number, since 3 + 4 + 96 + 79 + 484 + 0 = 666.

3496794840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496794841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579117 + ... + 585123.

It is an arithmetic number, because the mean of its divisors is an integer number (38526300).

Almost surely, 23496794840 is an apocalyptic number.

3496794840 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 3496794840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397049600).

3496794840 is an abundant number, since it is smaller than the sum of its proper divisors (11297304360).

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

3496794840 is a wasteful number, since it uses less digits than its factorization.

3496794840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3496794840 is about 59133.7030803923. The cubic root of 3496794840 is about 1517.8308799389.

The spelling of 3496794840 in words is "three billion, four hundred ninety-six million, seven hundred ninety-four thousand, eight hundred forty".