Search a number
-
+
234709480 = 235172343349
BaseRepresentation
bin11011111110101…
…10000111101000
3121100122110212201
431333112013220
5440041200410
635142345544
75546666125
oct1577260750
9540573781
10234709480
1111053a785
126672b2b4
133981aa65
142325974c
151591383a
hexdfd61e8

234709480 has 128 divisors (see below), whose sum is σ = 598752000. Its totient is φ = 82317312.

The previous prime is 234709471. The next prime is 234709481. The reversal of 234709480 is 84907432.

It is a happy number.

It is a super-3 number, since 3×2347094803 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234709481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672346 + ... + 672694.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2234709480 is an apocalyptic number.

234709480 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 234709480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376000).

234709480 is an abundant number, since it is smaller than the sum of its proper divisors (364042520).

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

234709480 is a wasteful number, since it uses less digits than its factorization.

234709480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 234709480 is about 15320.2310687535. The cubic root of 234709480 is about 616.8461764554.

The spelling of 234709480 in words is "two hundred thirty-four million, seven hundred nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 43 46 68 85 86 92 115 136 170 172 184 215 230 340 344 349 391 430 460 680 698 731 782 860 920 989 1396 1462 1564 1720 1745 1955 1978 2792 2924 3128 3490 3655 3910 3956 4945 5848 5933 6980 7310 7820 7912 8027 9890 11866 13960 14620 15007 15640 16054 16813 19780 23732 29240 29665 30014 32108 33626 39560 40135 47464 59330 60028 64216 67252 75035 80270 84065 118660 120056 134504 136459 150070 160540 168130 237320 255119 272918 300140 321080 336260 345161 510238 545836 600280 672520 682295 690322 1020476 1091672 1275595 1364590 1380644 1725805 2040952 2551190 2729180 2761288 3451610 5102380 5458360 5867737 6903220 10204760 11735474 13806440 23470948 29338685 46941896 58677370 117354740 234709480