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3402534016 = 27723915889
BaseRepresentation
bin1100101011001110…
…1000110010000000
322210010110122012101
43022303220302000
523432022042031
61321344040144
7150214030150
oct31263506200
98703418171
103402534016
111496707192
127ab603054
13422c0234b
14243c6a760
1514daa8361
hexcace8c80

3402534016 has 64 divisors (see below), whose sum is σ = 7779744000. Its totient is φ = 1452036096.

The previous prime is 3402534013. The next prime is 3402534103. The reversal of 3402534016 is 6104352043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3402534013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 206200 + ... + 222088.

It is an arithmetic number, because the mean of its divisors is an integer number (121558500).

Almost surely, 23402534016 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 3402534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889872000).

3402534016 is an abundant number, since it is smaller than the sum of its proper divisors (4377209984).

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

3402534016 is a wasteful number, since it uses less digits than its factorization.

3402534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16149 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3402534016 is about 58331.2439092464. The cubic root of 3402534016 is about 1504.0680707081.

Adding to 3402534016 its reverse (6104352043), we get a palindrome (9506886059).

The spelling of 3402534016 in words is "three billion, four hundred two million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 239 448 478 896 956 1673 1912 3346 3824 6692 7648 13384 15296 15889 26768 30592 31778 53536 63556 107072 111223 127112 214144 222446 254224 444892 508448 889784 1016896 1779568 2033792 3559136 3797471 7118272 7594942 14236544 15189884 26582297 30379768 53164594 60759536 106329188 121519072 212658376 243038144 425316752 486076288 850633504 1701267008 3402534016