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180421344 = 2534471481
BaseRepresentation
bin10101100000100…
…00001011100000
3110120111100120000
422300100023200
5332141440334
625523020000
74320361515
oct1260201340
9416440500
10180421344
1192930254
125050a600
132b4c08bc
1419d6730c
1510c8d299
hexac102e0

180421344 has 120 divisors (see below), whose sum is σ = 542269728. Its totient is φ = 58821120.

The previous prime is 180421331. The next prime is 180421393. The reversal of 180421344 is 443124081.

It is a super-2 number, since 2×1804213442 = 65103722741532672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121084 + ... + 122564.

Almost surely, 2180421344 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 180421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271134864).

180421344 is an abundant number, since it is smaller than the sum of its proper divisors (361848384).

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

180421344 is a wasteful number, since it uses less digits than its factorization.

180421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 180421344 is about 13432.1012503629. The cubic root of 180421344 is about 565.0618294515.

The spelling of 180421344 in words is "one hundred eighty million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1481 1504 1692 2256 2538 2592 2962 3384 3807 4443 4512 5076 5924 6768 7614 8886 10152 11848 13329 13536 15228 17772 20304 23696 26658 30456 35544 39987 40608 47392 53316 60912 69607 71088 79974 106632 119961 121824 139214 142176 159948 208821 213264 239922 278428 319896 417642 426528 479844 556856 626463 639792 835284 959688 1113712 1252926 1279584 1670568 1879389 1919376 2227424 2505852 3341136 3758778 3838752 5011704 5638167 6682272 7517556 10023408 11276334 15035112 20046816 22552668 30070224 45105336 60140448 90210672 180421344