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234007416 = 233267179271
BaseRepresentation
bin11011111001010…
…10101101111000
3121022022210211100
431330222231320
5434401214131
635115331400
75541013236
oct1574525570
9538283740
10234007416
11110100265
1266450b60
1339633336
1423115956
15158257e6
hexdf2ab78

234007416 has 96 divisors (see below), whose sum is σ = 649209600. Its totient is φ = 76127040.

The previous prime is 234007399. The next prime is 234007421. The reversal of 234007416 is 614700432.

It is a self number, because there is not a number n which added to its sum of digits gives 234007416.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 863361 + ... + 863631.

It is an arithmetic number, because the mean of its divisors is an integer number (6762600).

Almost surely, 2234007416 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 234007416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

234007416 is an abundant number, since it is smaller than the sum of its proper divisors (415202184).

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

234007416 is a wasteful number, since it uses less digits than its factorization.

234007416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 234007416 is about 15297.3009384009. The cubic root of 234007416 is about 616.2305245598.

Adding to 234007416 its reverse (614700432), we get a palindrome (848707848).

The spelling of 234007416 in words is "two hundred thirty-four million, seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 179 201 268 271 358 402 536 537 542 603 716 804 813 1074 1084 1206 1432 1608 1611 1626 2148 2168 2412 2439 3222 3252 4296 4824 4878 6444 6504 9756 11993 12888 18157 19512 23986 35979 36314 47972 48509 54471 71958 72628 95944 97018 107937 108942 143916 145256 145527 163413 194036 215874 217884 287832 291054 326826 388072 431748 435768 436581 582108 653652 863496 873162 1164216 1307304 1746324 3250103 3492648 6500206 9750309 13000412 19500618 26000824 29250927 39001236 58501854 78002472 117003708 234007416