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35420424 = 233131071061
BaseRepresentation
bin1000011100011…
…1100100001000
32110122112200120
42013013210020
533031423144
63303103240
7610032354
oct207074410
973575616
1035420424
1118aa2986
12ba41b20
137452240
1449c0464
153199e19
hex21c7908

35420424 has 64 divisors (see below), whose sum is σ = 96344640. Its totient is φ = 10786560.

The previous prime is 35420417. The next prime is 35420449. The reversal of 35420424 is 42402453.

It is a super-3 number, since 3×354204243 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 35420394 and 35420403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32854 + ... + 33914.

It is an arithmetic number, because the mean of its divisors is an integer number (1505385).

Almost surely, 235420424 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 35420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48172320).

35420424 is an abundant number, since it is smaller than the sum of its proper divisors (60924216).

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

35420424 is a wasteful number, since it uses less digits than its factorization.

35420424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 35420424 is about 5951.5060278891. The cubic root of 35420424 is about 328.4111688715.

Adding to 35420424 its reverse (42402453), we get a palindrome (77822877).

The spelling of 35420424 in words is "thirty-five million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1061 1284 1391 2122 2568 2782 3183 4173 4244 5564 6366 8346 8488 11128 12732 13793 16692 25464 27586 33384 41379 55172 82758 110344 113527 165516 227054 331032 340581 454108 681162 908216 1362324 1475851 2724648 2951702 4427553 5903404 8855106 11806808 17710212 35420424