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234001520 = 24567149293
BaseRepresentation
bin11011111001010…
…01010001110000
3121022022111201222
431330221101300
5434401022040
635115244212
75540660114
oct1574512160
9538274658
10234001520
111100a6895
1266449668
133963074c
1423113744
1515823bb5
hexdf29470

234001520 has 80 divisors (see below), whose sum is σ = 557776800. Its totient is φ = 91272192.

The previous prime is 234001489. The next prime is 234001531. The reversal of 234001520 is 25100432.

234001520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2340015202 = 109513422724620800, which contains 22 as substring.

It is a congruent number.

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, 798494 + ... + 798786.

It is an arithmetic number, because the mean of its divisors is an integer number (6972210).

Almost surely, 2234001520 is an apocalyptic number.

234001520 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 234001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278888400).

234001520 is an abundant number, since it is smaller than the sum of its proper divisors (323775280).

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

234001520 is a wasteful number, since it uses less digits than its factorization.

234001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 234001520 is about 15297.1082234519. The cubic root of 234001520 is about 616.2253490462.

Adding to 234001520 its reverse (25100432), we get a palindrome (259101952).

The spelling of 234001520 in words is "two hundred thirty-four million, one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 149 268 293 298 335 536 586 596 670 745 1072 1172 1192 1340 1465 1490 2344 2384 2680 2930 2980 4688 5360 5860 5960 9983 11720 11920 19631 19966 23440 39262 39932 43657 49915 78524 79864 87314 98155 99830 157048 159728 174628 196310 199660 218285 314096 349256 392620 399320 436570 698512 785240 798640 873140 1570480 1746280 2925019 3492560 5850038 11700076 14625095 23400152 29250190 46800304 58500380 117000760 234001520