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234206448 = 24373718839
BaseRepresentation
bin11011111010110…
…11010011110000
3121022200220211220
431331123103300
5434424101243
635123505040
75542502430
oct1575332360
9538626756
10234206448
11110226853
1266528180
13396a2ac8
14231682c0
1515864783
hexdf5b4f0

234206448 has 80 divisors (see below), whose sum is σ = 710192640. Its totient is φ = 65104128.

The previous prime is 234206443. The next prime is 234206449. The reversal of 234206448 is 844602432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234206443) 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 15 ways as a sum of consecutive naturals, for example, 3013 + ... + 21851.

It is an arithmetic number, because the mean of its divisors is an integer number (8877408).

Almost surely, 2234206448 is an apocalyptic number.

234206448 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 234206448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355096320).

234206448 is an abundant number, since it is smaller than the sum of its proper divisors (475986192).

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

234206448 is a wasteful number, since it uses less digits than its factorization.

234206448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18894 (or 18888 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 234206448 is about 15303.8050170538. The cubic root of 234206448 is about 616.4051840352.

The spelling of 234206448 in words is "two hundred thirty-four million, two hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 18839 37678 56517 75356 113034 131873 150712 226068 263746 301424 395619 452136 527492 697043 791238 904272 1054984 1394086 1582476 2091129 2109968 2788172 3164952 4182258 4879301 5576344 6329904 8364516 9758602 11152688 14637903 16729032 19517204 29275806 33458064 39034408 58551612 78068816 117103224 234206448