Search a number
-
+
316541952 = 210331072
BaseRepresentation
bin10010110111100…
…000110000000000
3211001121222221000
4102313200300000
51122013320302
651224332000
710562363556
oct2267406000
9731558830
10316541952
11152752721
128a014000
135077023c
143007bbd6
151cbca31c
hex12de0c00

316541952 has 132 divisors (see below), whose sum is σ = 946287160. Its totient is φ = 104527872.

The previous prime is 316541947. The next prime is 316541971. The reversal of 316541952 is 259145613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2958283 + ... + 2958389.

Almost surely, 2316541952 is an apocalyptic number.

316541952 is a gapful number since it is divisible by the number (32) 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 316541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473143580).

316541952 is an abundant number, since it is smaller than the sum of its proper divisors (629745208).

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

316541952 is an equidigital number, since it uses as much as digits as its factorization.

316541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 112 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 316541952 is about 17791.6258953475. The cubic root of 316541952 is about 681.5176254349.

The spelling of 316541952 in words is "three hundred sixteen million, five hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 128 144 192 214 216 256 288 321 384 428 432 512 576 642 768 856 864 963 1024 1152 1284 1536 1712 1728 1926 2304 2568 2889 3072 3424 3456 3852 4608 5136 5778 6848 6912 7704 9216 10272 11449 11556 13696 13824 15408 20544 22898 23112 27392 27648 30816 34347 41088 45796 46224 54784 61632 68694 82176 91592 92448 103041 109568 123264 137388 164352 183184 184896 206082 246528 274776 309123 328704 366368 369792 412164 493056 549552 618246 732736 739584 824328 986112 1099104 1236492 1465472 1479168 1648656 2198208 2472984 2930944 2958336 3297312 4396416 4945968 5861888 6594624 8792832 9891936 11723776 13189248 17585664 19783872 26378496 35171328 39567744 52756992 79135488 105513984 158270976 316541952