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243472080 = 243519107499
BaseRepresentation
bin11101000001100…
…01011011010000
3121222010122220110
432200301123100
5444312101310
640054241320
76014323065
oct1640613320
9558118813
10243472080
111154851a5
1269656240
133b598327
142449ac6c
1516594d20
hexe8316d0

243472080 has 160 divisors (see below), whose sum is σ = 803520000. Its totient is φ = 60811776.

The previous prime is 243472067. The next prime is 243472123. The reversal of 243472080 is 80274342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487671 + ... + 488169.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2243472080 is an apocalyptic number.

243472080 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 243472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760000).

243472080 is an abundant number, since it is smaller than the sum of its proper divisors (560047920).

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

243472080 is a wasteful number, since it uses less digits than its factorization.

243472080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 243472080 is about 15603.5918941762. The cubic root of 243472080 is about 624.4289867357.

The spelling of 243472080 in words is "two hundred forty-three million, four hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 107 114 120 152 190 214 228 240 285 304 321 380 428 456 499 535 570 642 760 856 912 998 1070 1140 1284 1497 1520 1605 1712 1996 2033 2140 2280 2495 2568 2994 3210 3992 4066 4280 4560 4990 5136 5988 6099 6420 7485 7984 8132 8560 9481 9980 10165 11976 12198 12840 14970 16264 18962 19960 20330 23952 24396 25680 28443 29940 30495 32528 37924 39920 40660 47405 48792 53393 56886 59880 60990 75848 81320 94810 97584 106786 113772 119760 121980 142215 151696 160179 162640 189620 213572 227544 243960 266965 284430 320358 379240 427144 455088 487920 533930 568860 640716 758480 800895 854288 1014467 1067860 1137720 1281432 1601790 2028934 2135720 2275440 2562864 3043401 3203580 4057868 4271440 5072335 6086802 6407160 8115736 10144670 12173604 12814320 15217005 16231472 20289340 24347208 30434010 40578680 48694416 60868020 81157360 121736040 243472080