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982034064 = 243311218787
BaseRepresentation
bin111010100010001…
…010011010010000
32112102212111111000
4322202022122100
54002400042224
6241240222000
733223103034
oct7242123220
92472774430
10982034064
11464372800
12234a6a900
131285b985b
14945d21c4
155b3330c9
hex3a88a690

982034064 has 120 divisors (see below), whose sum is σ = 3098516960. Its totient is φ = 297570240.

The previous prime is 982034063. The next prime is 982034107. The reversal of 982034064 is 460430289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (982034063) 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, 42879 + ... + 61665.

Almost surely, 2982034064 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 982034064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549258480).

982034064 is an abundant number, since it is smaller than the sum of its proper divisors (2116482896).

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

982034064 is a wasteful number, since it uses less digits than its factorization.

982034064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 982034064 is about 31337.4227402318. The cubic root of 982034064 is about 993.9751284890.

The spelling of 982034064 in words is "nine hundred eighty-two million, thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 18787 26136 37574 52272 56361 75148 112722 150296 169083 206657 225444 300592 338166 413314 450888 507249 619971 676332 826628 901776 1014498 1239942 1352664 1653256 1859913 2028996 2273227 2479884 2705328 3306512 3719826 4057992 4546454 4959768 5579739 6819681 7439652 8115984 9092908 9919536 11159478 13639362 14879304 18185816 20459043 22318956 27278724 29758608 36371632 40918086 44637912 54557448 61377129 81836172 89275824 109114896 122754258 163672344 245508516 327344688 491017032 982034064