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238540080 = 24352934273
BaseRepresentation
bin11100011011111…
…01010100110000
3121121212002110210
432031331110300
5442031240310
635400424120
75624362062
oct1615752460
9547762423
10238540080
11112716769
1267a78040
133a55c49c
1423975732
1515e1d820
hexe37d530

238540080 has 80 divisors (see below), whose sum is σ = 764995680. Its totient is φ = 61415424.

The previous prime is 238540067. The next prime is 238540111. The reversal of 238540080 is 80045832.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 10177 + ... + 24096.

It is an arithmetic number, because the mean of its divisors is an integer number (9562446).

Almost surely, 2238540080 is an apocalyptic number.

238540080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238540080 is an abundant number, since it is smaller than the sum of its proper divisors (526455600).

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

238540080 is a wasteful number, since it uses less digits than its factorization.

238540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34318 (or 34312 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 238540080 is about 15444.7427948801. The cubic root of 238540080 is about 620.1838511303.

The spelling of 238540080 in words is "two hundred thirty-eight million, five hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 34273 68546 102819 137092 171365 205638 274184 342730 411276 514095 548368 685460 822552 993917 1028190 1370920 1645104 1987834 2056380 2741840 2981751 3975668 4112760 4969585 5963502 7951336 8225520 9939170 11927004 14908755 15902672 19878340 23854008 29817510 39756680 47708016 59635020 79513360 119270040 238540080