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319438848 = 21436797
BaseRepresentation
bin10011000010100…
…100000000000000
3211021002011201110
4103002210000000
51123234020343
651410403320
710626120411
oct2302440000
9737064643
10319438848
11154351153
128ab90540
1351245991
14305d3808
151d09d833
hex130a4000

319438848 has 120 divisors (see below), whose sum is σ = 873437152. Its totient is φ = 103809024.

The previous prime is 319438841. The next prime is 319438853. The reversal of 319438848 is 848834913.

It is a super-2 number, since 2×3194388482 = 204082355223134208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 319438797 and 319438806.

It is not an unprimeable number, because it can be changed into a prime (319438841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3293136 + ... + 3293232.

Almost surely, 2319438848 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 319438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436718576).

319438848 is an abundant number, since it is smaller than the sum of its proper divisors (553998304).

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

319438848 is an frugal number, since it uses more digits than its factorization.

319438848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 319438848 is about 17872.8522625797. The cubic root of 319438848 is about 683.5903295614.

The spelling of 319438848 in words is "three hundred nineteen million, four hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 97 128 134 192 194 201 256 268 291 384 388 402 512 536 582 768 776 804 1024 1072 1164 1536 1552 1608 2048 2144 2328 3072 3104 3216 4096 4288 4656 6144 6208 6432 6499 8192 8576 9312 12288 12416 12864 12998 16384 17152 18624 19497 24576 24832 25728 25996 34304 37248 38994 49152 49664 51456 51992 68608 74496 77988 99328 102912 103984 137216 148992 155976 198656 205824 207968 274432 297984 311952 397312 411648 415936 548864 595968 623904 794624 823296 831872 1097728 1191936 1247808 1589248 1646592 1663744 2383872 2495616 3293184 3327488 4767744 4991232 6654976 9982464 13309952 19964928 26619904 39929856 53239808 79859712 106479616 159719424 319438848