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423742104 = 233419127271
BaseRepresentation
bin11001010000011…
…100101010011000
31002112100022220000
4121100130222120
51331434221404
6110014133000
713333514502
oct3120345230
91075308800
10423742104
111a8211795
12b9ab1160
1369a35096
14403c4d72
1527303339
hex1941ca98

423742104 has 160 divisors (see below), whose sum is σ = 1263820800. Its totient is φ = 132269760.

The previous prime is 423742097. The next prime is 423742127. The reversal of 423742104 is 401247324.

423742104 is a `hidden beast` number, since 4 + 237 + 421 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1563489 + ... + 1563759.

It is an arithmetic number, because the mean of its divisors is an integer number (7898880).

Almost surely, 2423742104 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 423742104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631910400).

423742104 is an abundant number, since it is smaller than the sum of its proper divisors (840078696).

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

423742104 is a wasteful number, since it uses less digits than its factorization.

423742104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 423742104 is about 20584.9970609665. The cubic root of 423742104 is about 751.1048037458.

Adding to 423742104 its reverse (401247324), we get a palindrome (824989428).

The spelling of 423742104 in words is "four hundred twenty-three million, seven hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 127 152 162 171 216 228 254 271 324 342 381 456 508 513 542 648 684 762 813 1016 1026 1084 1143 1368 1524 1539 1626 2052 2168 2286 2413 2439 3048 3078 3252 3429 4104 4572 4826 4878 5149 6156 6504 6858 7239 7317 9144 9652 9756 10287 10298 12312 13716 14478 14634 15447 19304 19512 20574 20596 21717 21951 27432 28956 29268 30894 34417 41148 41192 43434 43902 46341 57912 58536 61788 65151 68834 82296 86868 87804 92682 103251 123576 130302 137668 139023 173736 175608 185364 195453 206502 260604 275336 278046 309753 370728 390906 413004 417069 521208 556092 619506 653923 781812 826008 834138 929259 1112184 1239012 1307846 1563624 1668276 1858518 1961769 2478024 2615692 2787777 3336552 3717036 3923538 5231384 5575554 5885307 7434072 7847076 11151108 11770614 15694152 17655921 22302216 23541228 35311842 47082456 52967763 70623684 105935526 141247368 211871052 423742104