Search a number
-
+
35414028 = 223213312441
BaseRepresentation
bin1000011100011…
…0000000001100
32110122012220200
42013012000030
533031222103
63303013500
7610004616
oct207060014
973565820
1035414028
1118a990a1
12ba3a290
13744c360
1449bbdb6
1531980a3
hex21c600c

35414028 has 72 divisors (see below), whose sum is σ = 99555456. Its totient is φ = 10540800.

The previous prime is 35414023. The next prime is 35414039. The reversal of 35414028 is 82041453.

It is a junction number, because it is equal to n+sod(n) for n = 35413992 and 35414010.

It is not an unprimeable number, because it can be changed into a prime (35414023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13288 + ... + 15728.

Almost surely, 235414028 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 35414028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49777728).

35414028 is an abundant number, since it is smaller than the sum of its proper divisors (64141428).

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

35414028 is a wasteful number, since it uses less digits than its factorization.

35414028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 35414028 is about 5950.9686606468. The cubic root of 35414028 is about 328.3914001990.

It can be divided in two parts, 3541 and 4028, that added together give a square (7569 = 872).

The spelling of 35414028 in words is "thirty-five million, four hundred fourteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 2441 3627 4836 4882 7254 7323 9764 14508 14646 21969 29292 31733 43938 63466 75671 87876 95199 126932 151342 190398 227013 285597 302684 380796 454026 571194 681039 908052 983723 1142388 1362078 1967446 2724156 2951169 3934892 5902338 8853507 11804676 17707014 35414028