Search a number
-
+
30978102384 = 24326113126921
BaseRepresentation
bin11100110110011100…
…000101010001110000
32221221220202122121100
4130312130011101300
51001420343234014
622121532124400
72144444345205
oct346634052160
987856678540
1030978102384
1112157370909
126006606700
132bc8c061c8
1416dc2d5cac
15c14932009
hex736705470

30978102384 has 120 divisors (see below), whose sum is σ = 88792848144. Its totient is φ = 10078848000.

The previous prime is 30978102223. The next prime is 30978102403. The reversal of 30978102384 is 48320187903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137244 + ... + 1164164.

Almost surely, 230978102384 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 30978102384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44396424072).

30978102384 is an abundant number, since it is smaller than the sum of its proper divisors (57814745760).

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

30978102384 is a wasteful number, since it uses less digits than its factorization.

30978102384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127 (or 27118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30978102384 in words is "thirty billion, nine hundred seventy-eight million, one hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 131 144 183 244 262 366 393 488 524 549 732 786 976 1048 1098 1179 1464 1572 2096 2196 2358 2928 3144 4392 4716 6288 7991 8784 9432 15982 18864 23973 26921 31964 47946 53842 63928 71919 80763 95892 107684 127856 143838 161526 191784 215368 242289 287676 323052 383568 430736 484578 575352 646104 969156 1150704 1292208 1642181 1938312 3284362 3526651 3876624 4926543 6568724 7053302 9853086 10579953 13137448 14106604 14779629 19706172 21159906 26274896 28213208 29559258 31739859 39412344 42319812 56426416 59118516 63479718 78824688 84639624 118237032 126959436 169279248 215125711 236474064 253918872 430251422 507837744 645377133 860502844 1290754266 1721005688 1936131399 2581508532 3442011376 3872262798 5163017064 7744525596 10326034128 15489051192 30978102384