[go: up one dir, main page]

Search a number
-
+
319351248 = 2434292293
BaseRepresentation
bin10011000010001…
…110100111010000
3211020220201120000
4103002032213100
51123223214443
651404450000
710625304126
oct2302164720
9736821500
10319351248
111542a1357
128ab49900
1351214b48
14305ad916
151d0828d3
hex1308e9d0

319351248 has 150 divisors (see below), whose sum is σ = 960533574. Its totient is φ = 102428928.

The previous prime is 319351223. The next prime is 319351267. The reversal of 319351248 is 842153913.

It can be written as a sum of positive squares in 3 ways, for example, as 130233744 + 189117504 = 11412^2 + 13752^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1089790 + ... + 1090082.

Almost surely, 2319351248 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 319351248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480266787).

319351248 is an abundant number, since it is smaller than the sum of its proper divisors (641182326).

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

319351248 is a wasteful number, since it uses less digits than its factorization.

319351248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 327 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 319351248 is about 17870.4014504431. The cubic root of 319351248 is about 683.5278366535.

The spelling of 319351248 in words is "three hundred nineteen million, three hundred fifty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 293 324 348 432 464 522 586 648 696 783 841 879 1044 1172 1296 1392 1566 1682 1758 2088 2344 2349 2523 2637 3132 3364 3516 4176 4688 4698 5046 5274 6264 6728 7032 7569 7911 8497 9396 10092 10548 12528 13456 14064 15138 15822 16994 18792 20184 21096 22707 23733 25491 30276 31644 33988 37584 40368 42192 45414 47466 50982 60552 63288 67976 68121 76473 90828 94932 101964 121104 126576 135952 136242 152946 181656 189864 203928 229419 246413 272484 305892 363312 379728 407856 458838 492826 544968 611784 688257 739239 917676 985652 1089936 1223568 1376514 1478478 1835352 1971304 2217717 2753028 2956956 3670704 3942608 4435434 5506056 5913912 6653151 8870868 11012112 11827824 13306302 17741736 19959453 26612604 35483472 39918906 53225208 79837812 106450416 159675624 319351248