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3442383504 = 2432723374013
BaseRepresentation
bin1100110100101110…
…1001101010010000
322212220110012102100
43031023221222100
524022222233004
61325330120400
7151206530340
oct31513515220
98786405370
103442383504
11150715474a
12800a20100
1342b245521
14249280d20
1515232a739
hexcd2e9a90

3442383504 has 240 divisors, whose sum is σ = 11802316032. Its totient is φ = 915121152.

The previous prime is 3442383479. The next prime is 3442383517. The reversal of 3442383504 is 4053832443.

3442383504 is a `hidden beast` number, since 34 + 42 + 3 + 83 + 504 = 666.

It is a super-2 number, since 2×34423835042 = 23700008377222636032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855802 + ... + 859814.

Almost surely, 23442383504 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 3442383504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901158016).

3442383504 is an abundant number, since it is smaller than the sum of its proper divisors (8359932528).

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

3442383504 is a wasteful number, since it uses less digits than its factorization.

3442383504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3442383504 is about 58671.8288789433. The cubic root of 3442383504 is about 1509.9170318286.

The spelling of 3442383504 in words is "three billion, four hundred forty-two million, three hundred eighty-three thousand, five hundred four".