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234015432 = 23372371853
BaseRepresentation
bin11011111001011…
…00101011001000
3121022100012211020
431330230223020
5434401443212
635115432440
75541045510
oct1574545310
9538305736
10234015432
11110106292
1266455720
1339636b91
1423118840
1515827d8c
hexdf2cac8

234015432 has 128 divisors (see below), whose sum is σ = 708341760. Its totient is φ = 62979840.

The previous prime is 234015427. The next prime is 234015433. The reversal of 234015432 is 234510432.

234015432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (234015433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273918 + ... + 274770.

It is an arithmetic number, because the mean of its divisors is an integer number (5533920).

Almost surely, 2234015432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234015432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

234015432 is an abundant number, since it is smaller than the sum of its proper divisors (474326328).

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

234015432 is a wasteful number, since it uses less digits than its factorization.

234015432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 234015432 is about 15297.5629431619. The cubic root of 234015432 is about 616.2375608717.

Adding to 234015432 its reverse (234510432), we get a palindrome (468525864).

The spelling of 234015432 in words is "two hundred thirty-four million, fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 71 84 92 138 142 161 168 184 213 276 284 322 426 483 497 552 568 644 852 853 966 994 1288 1491 1633 1704 1706 1932 1988 2559 2982 3266 3412 3864 3976 4899 5118 5964 5971 6532 6824 9798 10236 11431 11928 11942 13064 17913 19596 19619 20472 22862 23884 34293 35826 39192 39238 45724 47768 58857 60563 68586 71652 78476 91448 117714 121126 137172 137333 143304 156952 181689 235428 242252 274344 274666 363378 411999 423941 470856 484504 549332 726756 823998 847882 1098664 1271823 1392949 1453512 1647996 1695764 2543646 2785898 3295992 3391528 4178847 5087292 5571796 8357694 9750643 10174584 11143592 16715388 19501286 29251929 33430776 39002572 58503858 78005144 117007716 234015432