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31234343232 = 263592839743
BaseRepresentation
bin11101000101101101…
…100100000101000000
32222121202221000222010
4131011231210011000
51002431442440412
622203204212520
72154005352111
oct350555440500
988552830863
1031234343232
1112278a77404
12607839a140
132c3a022401
141724358208
15c2c19a33c
hex745b64140

31234343232 has 112 divisors (see below), whose sum is σ = 84347182080. Its totient is φ = 10197769728.

The previous prime is 31234343213. The next prime is 31234343233. The reversal of 31234343232 is 23234343213.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31234343232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31234343233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3200953 + ... + 3210695.

It is an arithmetic number, because the mean of its divisors is an integer number (753099840).

Almost surely, 231234343232 is an apocalyptic number.

31234343232 is a gapful number since it is divisible by the number (32) 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 31234343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42173591040).

31234343232 is an abundant number, since it is smaller than the sum of its proper divisors (53112838848).

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

31234343232 is a wasteful number, since it uses less digits than its factorization.

31234343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10090 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

Adding to 31234343232 its reverse (23234343213), we get a palindrome (54468686445).

The spelling of 31234343232 in words is "thirty-one billion, two hundred thirty-four million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 283 354 472 566 708 849 944 1132 1416 1698 1888 2264 2832 3396 3776 4528 5664 6792 9056 9743 11328 13584 16697 18112 19486 27168 29229 33394 38972 50091 54336 58458 66788 77944 100182 116916 133576 155888 200364 233832 267152 311776 400728 467664 534304 574837 623552 801456 935328 1068608 1149674 1602912 1724511 1870656 2299348 2757269 3205824 3449022 4598696 5514538 6898044 8271807 9197392 11029076 13796088 16543614 18394784 22058152 27592176 33087228 36789568 44116304 55184352 66174456 88232608 110368704 132348912 162678871 176465216 264697824 325357742 488036613 529395648 650715484 976073226 1301430968 1952146452 2602861936 3904292904 5205723872 7808585808 10411447744 15617171616 31234343232