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23734530 = 23253147181
BaseRepresentation
bin101101010001…
…0100100000010
31122122211122200
41122202210002
522034001110
62204414030
7405511611
oct132424402
948584580
1023734530
1112441116
127b47316
134bc0201
14321b878
15213c6c0
hex16a2902

23734530 has 96 divisors (see below), whose sum is σ = 65415168. Its totient is φ = 5961600.

The previous prime is 23734517. The next prime is 23734547. The reversal of 23734530 is 3543732.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23734494 and 23734503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131040 + ... + 131220.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 223734530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23734530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584).

23734530 is an abundant number, since it is smaller than the sum of its proper divisors (41680638).

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

23734530 is a wasteful number, since it uses less digits than its factorization.

23734530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 23734530 is about 4871.8097253485. The cubic root of 23734530 is about 287.3824295580.

It can be divided in two parts, 2373 and 4530, that added together give a triangular number (6903 = T117).

The spelling of 23734530 in words is "twenty-three million, seven hundred thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 47 62 90 93 94 141 155 181 186 235 279 282 310 362 423 465 470 543 558 705 846 905 930 1086 1395 1410 1457 1629 1810 2115 2715 2790 2914 3258 4230 4371 5430 5611 7285 8145 8507 8742 11222 13113 14570 16290 16833 17014 21855 25521 26226 28055 33666 42535 43710 50499 51042 56110 65565 76563 84165 85070 100998 127605 131130 153126 168330 252495 255210 263717 382815 504990 527434 765630 791151 1318585 1582302 2373453 2637170 3955755 4746906 7911510 11867265 23734530