Search a number
-
+
40734000372 = 223132312392711
BaseRepresentation
bin100101111011111011…
…111000010011110100
310220010211012121201110
4211323323320103310
51131410401002442
630413554555020
72641266201402
oct457373702364
9126124177643
1040734000372
111630331041a
127a89898a70
133ac2167700
141d85c76472
1510d617369c
hex97bef84f4

40734000372 has 144 divisors (see below), whose sum is σ = 106723491840. Its totient is φ = 12074025600.

The previous prime is 40734000367. The next prime is 40734000379. The reversal of 40734000372 is 27300043704.

It is a super-2 number, since 2×407340003722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40734000379) 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, 15024097 + ... + 15026807.

It is an arithmetic number, because the mean of its divisors is an integer number (741135360).

Almost surely, 240734000372 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 40734000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361745920).

40734000372 is an abundant number, since it is smaller than the sum of its proper divisors (65989491468).

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

40734000372 is a wasteful number, since it uses less digits than its factorization.

40734000372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The spelling of 40734000372 in words is "forty billion, seven hundred thirty-four million, three hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 239 338 372 403 478 507 676 717 806 956 1014 1209 1434 1612 2028 2418 2711 2868 3107 4836 5239 5422 6214 7409 8133 9321 10478 10844 12428 14818 15717 16266 18642 20956 22227 29636 31434 32532 35243 37284 40391 44454 62868 70486 80782 84041 88908 96317 105729 121173 140972 161564 168082 192634 211458 242346 252123 288951 336164 385268 422916 458159 484692 504246 577902 647929 916318 1008492 1092533 1155804 1252121 1295858 1374477 1832636 1943787 2185066 2504242 2591716 2748954 3277599 3756363 3887574 4370132 5008484 5497908 6555198 7512726 7775148 8423077 13110396 14202929 15025452 16846154 20085799 25269231 28405858 33692308 40171598 42608787 50538462 56811716 60257397 80343196 85217574 101076924 109500001 120514794 170435148 219000002 241029588 261115387 328500003 438000004 522230774 657000006 783346161 1044461548 1314000012 1566692322 3133384644 3394500031 6789000062 10183500093 13578000124 20367000186 40734000372