Search a number
-
+
30746116240 = 2457216348119
BaseRepresentation
bin11100101000100111…
…001000000010010000
32221100202020112102221
4130220213020002100
51000432001204430
622042523550424
72135626450600
oct345047100220
987322215387
1030746116240
1112048421224
125b6098b414
132b8cb2cbb8
1416b9588c00
15bee3aa57a
hex7289c8090

30746116240 has 120 divisors (see below), whose sum is σ = 83667591360. Its totient is φ = 10476635904.

The previous prime is 30746116229. The next prime is 30746116243. The reversal of 30746116240 is 4261164703.

It is a junction number, because it is equal to n+sod(n) for n = 30746116196 and 30746116205.

It is not an unprimeable number, because it can be changed into a prime (30746116243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614901 + ... + 663019.

It is an arithmetic number, because the mean of its divisors is an integer number (697229928).

Almost surely, 230746116240 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 30746116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41833795680).

30746116240 is an abundant number, since it is smaller than the sum of its proper divisors (52921475120).

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

30746116240 is a wasteful number, since it uses less digits than its factorization.

30746116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48309 (or 48296 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 30746116240 in words is "thirty billion, seven hundred forty-six million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 163 196 245 280 326 392 490 560 652 784 815 980 1141 1304 1630 1960 2282 2608 3260 3920 4564 5705 6520 7987 9128 11410 13040 15974 18256 22820 31948 39935 45640 48119 63896 79870 91280 96238 127792 159740 192476 240595 319480 336833 384952 481190 638960 673666 769904 962380 1347332 1684165 1924760 2357831 2694664 3368330 3849520 4715662 5389328 6736660 7843397 9431324 11789155 13473320 15686794 18862648 23578310 26946640 31373588 37725296 39216985 47156620 54903779 62747176 78433970 94313240 109807558 125494352 156867940 188626480 219615116 274518895 313735880 384326453 439230232 549037790 627471760 768652906 878460464 1098075580 1537305812 1921632265 2196151160 3074611624 3843264530 4392302320 6149223248 7686529060 15373058120 30746116240