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5434416 = 2432132903
BaseRepresentation
bin10100101110110000110000
3101020002121200
4110232300300
52342400131
6312251200
764122531
oct24566060
911202550
105434416
113081a59
1219a0b00
131183740
14a16688
157252e6
hex52ec30

5434416 has 60 divisors (see below), whose sum is σ = 16384368. Its totient is φ = 1671552.

The previous prime is 5434409. The next prime is 5434421. The reversal of 5434416 is 6144345.

5434416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54344162 = 59065754522112, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5434416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 3323.

Almost surely, 25434416 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 5434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192184).

5434416 is an abundant number, since it is smaller than the sum of its proper divisors (10949952).

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

5434416 is a wasteful number, since it uses less digits than its factorization.

5434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2921 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5434416 is about 2331.1833904693. The cubic root of 5434416 is about 175.8129900670.

The spelling of 5434416 in words is "five million, four hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2903 5806 8709 11612 17418 23224 26127 34836 37739 46448 52254 69672 75478 104508 113217 139344 150956 209016 226434 301912 339651 418032 452868 603824 679302 905736 1358604 1811472 2717208 5434416