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234001320 = 23357377529
BaseRepresentation
bin11011111001010…
…01001110101000
3121022022111110120
431330221032220
5434401020240
635115243240
75540656410
oct1574511650
9538274416
10234001320
111100a6723
1266449520
1339630627
1423113640
1515823ad0
hexdf293a8

234001320 has 128 divisors (see below), whose sum is σ = 824083200. Its totient is φ = 52033536.

The previous prime is 234001301. The next prime is 234001331. The reversal of 234001320 is 23100432.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 234001320.

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, 27316 + ... + 34844.

It is an arithmetic number, because the mean of its divisors is an integer number (6438150).

Almost surely, 2234001320 is an apocalyptic number.

234001320 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 234001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412041600).

234001320 is an abundant number, since it is smaller than the sum of its proper divisors (590081880).

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

234001320 is a wasteful number, since it uses less digits than its factorization.

234001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 234001320 is about 15297.1016862672. The cubic root of 234001320 is about 616.2251734845.

Adding to 234001320 its reverse (23100432), we get a palindrome (257101752).

The spelling of 234001320 in words is "two hundred thirty-four million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7529 7770 10360 15058 15540 22587 30116 31080 37645 45174 52703 60232 75290 90348 105406 112935 150580 158109 180696 210812 225870 263515 278573 301160 316218 421624 451740 527030 557146 632436 790545 835719 903480 1054060 1114292 1264872 1392865 1581090 1671438 1950011 2108120 2228584 2785730 3162180 3342876 3900022 4178595 5571460 5850033 6324360 6685752 7800044 8357190 9750055 11142920 11700066 15600088 16714380 19500110 23400132 29250165 33428760 39000220 46800264 58500330 78000440 117000660 234001320