Search a number
-
+
423493632 = 21732359
BaseRepresentation
bin11001001111100…
…000000000000000
31002111212201001100
4121033200000000
51331403244012
6110004534400
713331431212
oct3117400000
91074781040
10423493632
111a8062041
12b99b1400
1369978c63
144035c5b2
15272a48dc
hex193e0000

423493632 has 108 divisors (see below), whose sum is σ = 1226829240. Its totient is φ = 140771328.

The previous prime is 423493619. The next prime is 423493643. The reversal of 423493632 is 236394324.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179469 + ... + 1179827.

It is an arithmetic number, because the mean of its divisors is an integer number (11359530).

Almost surely, 2423493632 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 423493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613414620).

423493632 is an abundant number, since it is smaller than the sum of its proper divisors (803335608).

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

423493632 is an frugal number, since it uses more digits than its factorization.

423493632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 423493632 is about 20578.9609067125. The cubic root of 423493632 is about 750.9579652159.

The spelling of 423493632 in words is "four hundred twenty-three million, four hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 359 384 512 576 718 768 1024 1077 1152 1436 1536 2048 2154 2304 2872 3072 3231 4096 4308 4608 5744 6144 6462 8192 8616 9216 11488 12288 12924 16384 17232 18432 22976 24576 25848 32768 34464 36864 45952 49152 51696 65536 68928 73728 91904 98304 103392 131072 137856 147456 183808 196608 206784 275712 294912 367616 393216 413568 551424 589824 735232 827136 1102848 1179648 1470464 1654272 2205696 2940928 3308544 4411392 5881856 6617088 8822784 11763712 13234176 17645568 23527424 26468352 35291136 47054848 52936704 70582272 105873408 141164544 211746816 423493632