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243939840 = 2935231381
BaseRepresentation
bin11101000101000…
…11101000000000
3122000000102112220
432202203220000
5444422033330
640112251040
76021311604
oct1642435000
9560012486
10243939840
11115774681
1269840a80
133b700201
142457d504
1516638710
hexe8a3a00

243939840 has 160 divisors (see below), whose sum is σ = 814340736. Its totient is φ = 62177280.

The previous prime is 243939827. The next prime is 243939847. The reversal of 243939840 is 48939342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 243939792 and 243939801.

It is not an unprimeable number, because it can be changed into a prime (243939847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175950 + ... + 177330.

Almost surely, 2243939840 is an apocalyptic number.

243939840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407170368).

243939840 is an abundant number, since it is smaller than the sum of its proper divisors (570400896).

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

243939840 is a wasteful number, since it uses less digits than its factorization.

243939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 243939840 is about 15618.5735584272. The cubic root of 243939840 is about 624.8286164753.

The spelling of 243939840 in words is "two hundred forty-three million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1104 1280 1380 1381 1472 1536 1840 1920 2208 2560 2760 2762 2944 3680 3840 4143 4416 5520 5524 5888 6905 7360 7680 8286 8832 11040 11048 11776 13810 14720 16572 17664 20715 22080 22096 27620 29440 31763 33144 35328 41430 44160 44192 55240 58880 63526 66288 82860 88320 88384 95289 110480 127052 132576 158815 165720 176640 176768 190578 220960 254104 265152 317630 331440 353536 381156 441920 476445 508208 530304 635260 662880 707072 762312 883840 952890 1016416 1060608 1270520 1325760 1524624 1767680 1905780 2032832 2121216 2541040 2651520 3049248 3535360 3811560 4065664 5082080 5303040 6098496 7623120 8131328 10164160 10606080 12196992 15246240 16262656 20328320 24393984 30492480 40656640 48787968 60984960 81313280 121969920 243939840