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3434572016 = 241718169763
BaseRepresentation
bin1100110010110111…
…0110100011110000
322212100202100001222
43030231312203300
524013222301031
61324450444212
7151053244331
oct31455664360
98770670058
103434572016
1115027a9877
127ba293668
1342973bb45
1424820a288
151517d5e7b
hexccb768f0

3434572016 has 40 divisors (see below), whose sum is σ = 7084952784. Its totient is φ = 1607316480.

The previous prime is 3434571997. The next prime is 3434572073. The reversal of 3434572016 is 6102754343.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14351 + ... + 84113.

Almost surely, 23434572016 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 3434572016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542476392).

3434572016 is an abundant number, since it is smaller than the sum of its proper divisors (3650380768).

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

3434572016 is a wasteful number, since it uses less digits than its factorization.

3434572016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69969 (or 69963 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3434572016 is about 58605.2217468717. The cubic root of 3434572016 is about 1508.7740610187.

The spelling of 3434572016 in words is "three billion, four hundred thirty-four million, five hundred seventy-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 1448 2896 3077 6154 12308 24616 49232 69763 139526 279052 558104 1116208 1185971 2371942 4743884 9487768 12627103 18975536 25254206 50508412 101016824 202033648 214660751 429321502 858643004 1717286008 3434572016