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697696416 = 25341931457
BaseRepresentation
bin101001100101100…
…000000010100000
31210121211122120000
4221211200002200
52412102241131
6153122020000
723201215224
oct5145400240
91717748500
10697696416
1132891670a
121757a7600
13b1713a21
1468938784
15413b9ce6
hex299600a0

697696416 has 240 divisors, whose sum is σ = 2234453760. Its totient is φ = 212751360.

The previous prime is 697696411. The next prime is 697696427. The reversal of 697696416 is 614696796.

It is a super-3 number, since 3×6976964163 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (697696411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1526460 + ... + 1526916.

It is an arithmetic number, because the mean of its divisors is an integer number (9310224).

Almost surely, 2697696416 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 697696416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117226880).

697696416 is an abundant number, since it is smaller than the sum of its proper divisors (1536757344).

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

697696416 is a wasteful number, since it uses less digits than its factorization.

697696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 697696416 is about 26413.9435904599. The cubic root of 697696416 is about 886.9289497372.

It can be divided in two parts, 6976964 and 16, that added together give a triangular number (6976980 = T3735).

The spelling of 697696416 in words is "six hundred ninety-seven million, six hundred ninety-six thousand, four hundred sixteen".