Search a number
-
+
34971231984 = 24313376192447
BaseRepresentation
bin100000100100011100…
…101010011011110000
310100021012112122122020
4200210130222123300
51033110113410414
624022054511440
72345422365363
oct404434523360
9110235478566
1034971231984
1113916392217
12693b965580
1333b42906a0
14199a77c0da
15d9a29b7a9
hex82472a6f0

34971231984 has 160 divisors (see below), whose sum is σ = 100123591680. Its totient is φ = 10448372736.

The previous prime is 34971231943. The next prime is 34971231991. The reversal of 34971231984 is 48913217943.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14290249 + ... + 14292695.

It is an arithmetic number, because the mean of its divisors is an integer number (625772448).

Almost surely, 234971231984 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 34971231984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50061795840).

34971231984 is an abundant number, since it is smaller than the sum of its proper divisors (65152359696).

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

34971231984 is a wasteful number, since it uses less digits than its factorization.

34971231984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3121 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 34971231984 in words is "thirty-four billion, nine hundred seventy-one million, two hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 619 624 888 962 1238 1443 1776 1857 1924 2447 2476 2886 3714 3848 4894 4952 5772 7341 7428 7696 8047 9788 9904 11544 14682 14856 16094 19576 22903 23088 24141 29364 29712 31811 32188 39152 45806 48282 58728 63622 64376 68709 90539 91612 95433 96564 117456 127244 128752 137418 181078 183224 190866 193128 254488 271617 274836 297739 362156 366448 381732 386256 508976 543234 549672 595478 724312 763464 893217 1086468 1099344 1177007 1190956 1448624 1514693 1526928 1786434 2172936 2354014 2381912 3029386 3531021 3572868 4345872 4544079 4708028 4763824 6058772 7062042 7145736 9088158 9416056 12117544 14124084 14291472 18176316 18832112 19691009 24235088 28248168 36352632 39382018 56043641 56496336 59073027 72705264 78764036 112087282 118146054 157528072 168130923 224174564 236292108 315056144 336261846 448349128 472584216 672523692 728567333 896698256 945168432 1345047384 1457134666 2185701999 2690094768 2914269332 4371403998 5828538664 8742807996 11657077328 17485615992 34971231984