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234196128 = 253219127337
BaseRepresentation
bin11011111010110…
…00110010100000
3121022200101200200
431331120302200
5434423234003
635123345200
75542430355
oct1575306240
9538611620
10234196128
1111021a021
1266522200
133969b1ba
142316462c
15158616a3
hexdf58ca0

234196128 has 144 divisors (see below), whose sum is σ = 708664320. Its totient is φ = 73156608.

The previous prime is 234196111. The next prime is 234196129. The reversal of 234196128 is 821691432.

234196128 is a `hidden beast` number, since 2 + 34 + 1 + 9 + 612 + 8 = 666.

234196128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 234196092 and 234196101.

It is not an unprimeable number, because it can be changed into a prime (234196129) 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, 694776 + ... + 695112.

It is an arithmetic number, because the mean of its divisors is an integer number (4921280).

Almost surely, 2234196128 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 234196128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354332160).

234196128 is an abundant number, since it is smaller than the sum of its proper divisors (474468192).

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

234196128 is a wasteful number, since it uses less digits than its factorization.

234196128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 234196128 is about 15303.4678422899. The cubic root of 234196128 is about 616.3961302068.

The spelling of 234196128 in words is "two hundred thirty-four million, one hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 127 144 152 171 228 254 288 304 337 342 381 456 508 608 674 684 762 912 1011 1016 1143 1348 1368 1524 1824 2022 2032 2286 2413 2696 2736 3033 3048 4044 4064 4572 4826 5392 5472 6066 6096 6403 7239 8088 9144 9652 10784 12132 12192 12806 14478 16176 18288 19209 19304 21717 24264 25612 28956 32352 36576 38418 38608 42799 43434 48528 51224 57627 57912 76836 77216 85598 86868 97056 102448 115254 115824 128397 153672 171196 173736 204896 230508 231648 256794 307344 342392 347472 385191 461016 513588 614688 684784 694944 770382 813181 922032 1027176 1369568 1540764 1626362 1844064 2054352 2439543 3081528 3252724 4108704 4879086 6163056 6505448 7318629 9758172 12326112 13010896 14637258 19516344 26021792 29274516 39032688 58549032 78065376 117098064 234196128