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270030336 = 2933153107
BaseRepresentation
bin10000000110000…
…101011000000000
3200211002221222120
4100012011120000
51023111432321
642443404240
76456135312
oct2006053000
9624087876
10270030336
11129474874
1276523680
1343c36884
1427c117b2
1518a8dec6
hex10185600

270030336 has 160 divisors (see below), whose sum is σ = 763665408. Its totient is φ = 84664320.

The previous prime is 270030331. The next prime is 270030359. The reversal of 270030336 is 633030072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270030331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523595 + ... + 2523701.

Almost surely, 2270030336 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 270030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381832704).

270030336 is an abundant number, since it is smaller than the sum of its proper divisors (493635072).

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

270030336 is a wasteful number, since it uses less digits than its factorization.

270030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 270030336 is about 16432.5997943113. The cubic root of 270030336 is about 646.3546123737.

The spelling of 270030336 in words is "two hundred seventy million, thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 107 124 128 159 186 192 212 214 248 256 318 321 372 384 424 428 496 512 636 642 744 768 848 856 992 1272 1284 1488 1536 1643 1696 1712 1984 2544 2568 2976 3286 3317 3392 3424 3968 4929 5088 5136 5671 5952 6572 6634 6784 6848 7936 9858 9951 10176 10272 11342 11904 13144 13268 13568 13696 15872 17013 19716 19902 20352 20544 22684 23808 26288 26536 27136 27392 34026 39432 39804 40704 41088 45368 47616 52576 53072 54784 68052 78864 79608 81408 82176 90736 105152 106144 136104 157728 159216 164352 175801 181472 210304 212288 272208 315456 318432 351602 362944 420608 424576 527403 544416 630912 636864 703204 725888 841216 849152 1054806 1088832 1261824 1273728 1406408 1451776 1698304 2109612 2177664 2523648 2547456 2812816 2903552 4219224 4355328 5094912 5625632 8438448 8710656 11251264 16876896 22502528 33753792 45005056 67507584 90010112 135015168 270030336