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270147328 = 2811234397
BaseRepresentation
bin10000000110100…
…001111100000000
3200211022220110121
4100012201330000
51023124203303
642450110024
76460133353
oct2006417400
9624286417
10270147328
11129544760
127657b314
1343c77bb9
1427c4229a
1518ab39bd
hex101a1f00

270147328 has 144 divisors (see below), whose sum is σ = 634588416. Its totient is φ = 113541120.

The previous prime is 270147313. The next prime is 270147341. The reversal of 270147328 is 823741072.

It is a junction number, because it is equal to n+sod(n) for n = 270147293 and 270147302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784976 + ... + 2785072.

It is an arithmetic number, because the mean of its divisors is an integer number (4406864).

Almost surely, 2270147328 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 270147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317294208).

270147328 is an abundant number, since it is smaller than the sum of its proper divisors (364441088).

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

270147328 is a wasteful number, since it uses less digits than its factorization.

270147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 270147328 is about 16436.1591620427. The cubic root of 270147328 is about 646.4479443574.

The spelling of 270147328 in words is "two hundred seventy million, one hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 64 86 88 92 97 128 172 176 184 194 253 256 344 352 368 388 473 506 688 704 736 776 946 989 1012 1067 1376 1408 1472 1552 1892 1978 2024 2134 2231 2752 2816 2944 3104 3784 3956 4048 4171 4268 4462 5504 5888 6208 7568 7912 8096 8342 8536 8924 10879 11008 12416 15136 15824 16192 16684 17072 17848 21758 24541 24832 30272 31648 32384 33368 34144 35696 43516 45881 49082 60544 63296 64768 66736 68288 71392 87032 91762 95933 98164 121088 126592 133472 136576 142784 174064 183524 191866 196328 253184 266944 273152 285568 348128 367048 383732 392656 533888 571136 696256 734096 767464 785312 1055263 1067776 1392512 1468192 1534928 1570624 2110526 2785024 2936384 3069856 3141248 4221052 5872768 6139712 6282496 8442104 11745536 12279424 16884208 24558848 33768416 67536832 135073664 270147328