Search a number
-
+
234353028 = 223713317677
BaseRepresentation
bin11011111011111…
…11000110000100
3121022222100220210
431331333012010
5434443244103
635130555420
75543652660
oct1575770604
9538870823
10234353028
11110316998
1266598b70
1339724740
14231a58a0
1515892e03
hexdf7f184

234353028 has 96 divisors (see below), whose sum is σ = 676134144. Its totient is φ = 61521408.

The previous prime is 234352999. The next prime is 234353029. The reversal of 234353028 is 820353432.

It is a junction number, because it is equal to n+sod(n) for n = 234352986 and 234353004.

It is not an unprimeable number, because it can be changed into a prime (234353029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345826 + ... + 346502.

It is an arithmetic number, because the mean of its divisors is an integer number (7043064).

Almost surely, 2234353028 is an apocalyptic number.

234353028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234353028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338067072).

234353028 is an abundant number, since it is smaller than the sum of its proper divisors (441781116).

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

234353028 is a wasteful number, since it uses less digits than its factorization.

234353028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 234353028 is about 15308.5932730607. The cubic root of 234353028 is about 616.5337512741.

The spelling of 234353028 in words is "two hundred thirty-four million, three hundred fifty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 317 364 546 634 677 951 1092 1268 1354 1902 2031 2219 2708 3804 4062 4121 4438 4739 6657 8124 8242 8801 8876 9478 12363 13314 14217 16484 17602 18956 24726 26403 26628 28434 28847 35204 49452 52806 56868 57694 61607 86541 105612 115388 123214 173082 184821 214609 246428 346164 369642 429218 643827 739284 858436 1287654 1502263 2575308 2789917 3004526 4506789 5579834 6009052 8369751 9013578 11159668 16739502 18027156 19529419 33479004 39058838 58588257 78117676 117176514 234353028