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234011520 = 2732540627
BaseRepresentation
bin11011111001010…
…11101110000000
3121022100000110100
431330223232000
5434401332040
635115402400
75541031221
oct1574535600
9538300410
10234011520
11110103356
1266453400
1339635172
1423117248
1515826b30
hexdf2bb80

234011520 has 96 divisors (see below), whose sum is σ = 808090920. Its totient is φ = 62401536.

The previous prime is 234011507. The next prime is 234011521. The reversal of 234011520 is 25110432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2340115202 = 109522782985420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234011493 and 234011502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234011521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14554 + ... + 26073.

Almost surely, 2234011520 is an apocalyptic number.

234011520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234011520 is an abundant number, since it is smaller than the sum of its proper divisors (574079400).

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

234011520 is a wasteful number, since it uses less digits than its factorization.

234011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40652 (or 40637 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 234011520 is about 15297.4350791236. The cubic root of 234011520 is about 616.2341270031.

Adding to 234011520 its reverse (25110432), we get a palindrome (259121952).

The spelling of 234011520 in words is "two hundred thirty-four million, eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 40627 81254 121881 162508 203135 243762 325016 365643 406270 487524 609405 650032 731286 812540 975048 1218810 1300064 1462572 1625080 1828215 1950096 2437620 2600128 2925144 3250160 3656430 3900192 4875240 5200256 5850288 6500320 7312860 7800384 9750480 11700576 13000640 14625720 15600768 19500960 23401152 26001280 29251440 39001920 46802304 58502880 78003840 117005760 234011520