Search a number
-
+
23274027342 = 23237713311487
BaseRepresentation
bin10101101011001111…
…010111100101001110
32020002000012002102200
4111223033113211032
5340131122333332
614405243102330
71452515653056
oct255317274516
966060162380
1023274027342
119963644245
1246165119a6
13226ba95117
1411ab060566
159133dd17c
hex56b3d794e

23274027342 has 96 divisors (see below), whose sum is σ = 52713483264. Its totient is φ = 7414545600.

The previous prime is 23274027341. The next prime is 23274027367. The reversal of 23274027342 is 24372047232.

23274027342 is a `hidden beast` number, since 23 + 274 + 0 + 27 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23274027297 and 23274027306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23274027341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15650923 + ... + 15652409.

It is an arithmetic number, because the mean of its divisors is an integer number (549098784).

Almost surely, 223274027342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23274027342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26356741632).

23274027342 is an abundant number, since it is smaller than the sum of its proper divisors (29439455922).

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

23274027342 is a wasteful number, since it uses less digits than its factorization.

23274027342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 23274027342 in words is "twenty-three billion, two hundred seventy-four million, twenty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 331 333 426 639 662 666 993 1278 1487 1986 2627 2974 2979 4461 5254 5958 7881 8922 12247 13383 15762 23501 23643 24494 26766 36741 47002 47286 55019 70503 73482 105577 110038 110223 141006 165057 211154 211509 220446 316731 330114 423018 492197 495171 633462 869537 950193 984394 990342 1476591 1739074 1900386 2608611 2953182 3906349 4429773 5217222 7812698 7825833 8859546 11719047 15651666 18211289 23438094 34945987 35157141 36422578 54633867 69891974 70314282 104837961 109267734 163901601 209675922 314513883 327803202 629027766 1293001519 2586003038 3879004557 7758009114 11637013671 23274027342