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3482216556 = 223721317127211
BaseRepresentation
bin1100111110001110…
…0110100001101100
322222200101221002120
43033203212201230
524112421412211
61333311552540
7152202231600
oct31743464154
98880357076
103482216556
111527690925
1281222b750
13436581090
1425068d500
15155a97d06
hexcf8e686c

3482216556 has 288 divisors, whose sum is σ = 10913882112. Its totient is φ = 853493760.

The previous prime is 3482216533. The next prime is 3482216597. The reversal of 3482216556 is 6556122843.

It is a super-2 number, since 2×34822165562 = 24251664285761002272, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16503291 + ... + 16503501.

It is an arithmetic number, because the mean of its divisors is an integer number (37895424).

Almost surely, 23482216556 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 3482216556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456941056).

3482216556 is an abundant number, since it is smaller than the sum of its proper divisors (7431665556).

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

3482216556 is a wasteful number, since it uses less digits than its factorization.

3482216556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 3482216556 is about 59010.3088959887. The cubic root of 3482216556 is about 1515.7186417282.

The spelling of 3482216556 in words is "three billion, four hundred eighty-two million, two hundred sixteen thousand, five hundred fifty-six".