Search a number
-
+
3534680064 = 21231791607
BaseRepresentation
bin1101001010101110…
…1111000000000000
3100010100010100111110
43102223233000000
524214334230224
61342424243320
7153410166456
oct32253570000
910110110443
103534680064
1115542644a3
12827910540
134443bc886
142576289d6
1515a4ac929
hexd2aef000

3534680064 has 104 divisors (see below), whose sum is σ = 9483212160. Its totient is φ = 1170915328.

The previous prime is 3534680063. The next prime is 3534680099. The reversal of 3534680064 is 4600864353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534680063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2198749 + ... + 2200355.

Almost surely, 23534680064 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 3534680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741606080).

3534680064 is an abundant number, since it is smaller than the sum of its proper divisors (5948532096).

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

3534680064 is a wasteful number, since it uses less digits than its factorization.

3534680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3534680064 is about 59453.1753903860. The cubic root of 3534680064 is about 1523.2927326261.

The spelling of 3534680064 in words is "three billion, five hundred thirty-four million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1024 1074 1432 1536 1607 2048 2148 2864 3072 3214 4096 4296 4821 5728 6144 6428 8592 9642 11456 12288 12856 17184 19284 22912 25712 34368 38568 45824 51424 68736 77136 91648 102848 137472 154272 183296 205696 274944 287653 308544 366592 411392 549888 575306 617088 733184 822784 862959 1099776 1150612 1234176 1645568 1725918 2199552 2301224 2468352 3291136 3451836 4602448 4936704 6582272 6903672 9204896 9873408 13807344 18409792 19746816 27614688 36819584 55229376 73639168 110458752 147278336 220917504 294556672 441835008 589113344 883670016 1178226688 1767340032 3534680064