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3421150032 = 2431989113373
BaseRepresentation
bin1100101111101010…
…1001101101010000
322211102111102120110
43023322221231100
524001303300112
61323251041320
7150531203226
oct31372515520
98742442513
103421150032
1114a6171723
127b58a0240
13426a1c841
14246514b16
1515053413c
hexcbea9b50

3421150032 has 160 divisors (see below), whose sum is σ = 9516355200. Its totient is φ = 1055932416.

The previous prime is 3421150027. The next prime is 3421150043. The reversal of 3421150032 is 2300511243.

It is a junction number, because it is equal to n+sod(n) for n = 3421149990 and 3421150008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9171798 + ... + 9172170.

It is an arithmetic number, because the mean of its divisors is an integer number (59477220).

Almost surely, 23421150032 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 3421150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758177600).

3421150032 is an abundant number, since it is smaller than the sum of its proper divisors (6095205168).

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

3421150032 is a wasteful number, since it uses less digits than its factorization.

3421150032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3421150032 is about 58490.5978085367. The cubic root of 3421150032 is about 1506.8061129538.

Adding to 3421150032 its reverse (2300511243), we get a palindrome (5721661275).

The spelling of 3421150032 in words is "three billion, four hundred twenty-one million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 89 113 114 152 178 226 228 267 304 339 356 373 452 456 534 678 712 746 904 912 1068 1119 1356 1424 1492 1691 1808 2136 2147 2238 2712 2984 3382 4272 4294 4476 5073 5424 5968 6441 6764 7087 8588 8952 10057 10146 12882 13528 14174 17176 17904 20114 20292 21261 25764 27056 28348 30171 33197 34352 40228 40584 42149 42522 51528 56696 60342 66394 80456 81168 84298 85044 99591 103056 113392 120684 126447 132788 160912 168596 170088 191083 199182 241368 252894 265576 337192 340176 382166 398364 482736 505788 531152 573249 630743 674384 764332 796728 800831 1011576 1146498 1261486 1528664 1593456 1601662 1892229 2023152 2292996 2402493 2522972 3057328 3203324 3751261 3784458 4585992 4804986 5045944 6406648 7502522 7568916 9171984 9609972 10091888 11253783 12813296 15005044 15137832 19219944 22507566 30010088 30275664 38439888 45015132 60020176 71273959 90030264 142547918 180060528 213821877 285095836 427643754 570191672 855287508 1140383344 1710575016 3421150032