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1490431104 = 2734294957
BaseRepresentation
bin101100011010110…
…0010110010000000
310211212111202010000
41120311202302000
511023022243404
6403521040000
751635312121
oct13065426200
93755452100
101490431104
116a5344a48
12357186000
131a9a219c6
14101d32048
158aca9339
hex58d62c80

1490431104 has 160 divisors (see below), whose sum is σ = 4589372700. Its totient is φ = 479582208.

The previous prime is 1490431099. The next prime is 1490431171. The reversal of 1490431104 is 4011340941.

It can be written as a sum of positive squares in 2 ways, for example, as 1428840000 + 61591104 = 37800^2 + 7848^2 .

It is a super-3 number, since 3×14904311043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 298194 + ... + 303150.

Almost surely, 21490431104 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 1490431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294686350).

1490431104 is an abundant number, since it is smaller than the sum of its proper divisors (3098941596).

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

1490431104 is an equidigital number, since it uses as much as digits as its factorization.

1490431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1490431104 is about 38606.1019011244. The cubic root of 1490431104 is about 1142.2749033276.

The spelling of 1490431104 in words is "one billion, four hundred ninety million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 4957 5184 5568 6264 8352 9396 9914 10368 11136 12528 14871 16704 18792 19828 25056 29742 33408 37584 39656 44613 50112 59484 75168 79312 89226 100224 118968 133839 143753 150336 158624 178452 237936 267678 287506 300672 317248 356904 401517 431259 475872 535356 575012 634496 713808 803034 862518 951744 1070712 1150024 1293777 1427616 1606068 1725036 1903488 2141424 2300048 2587554 2855232 3212136 3450072 3881331 4282848 4600096 5175108 5710464 6424272 6900144 7762662 8565696 9200192 10350216 11643993 12848544 13800288 15525324 17131392 18400384 20700432 23287986 25697088 27600576 31050648 41400864 46575972 51394176 55201152 62101296 82801728 93151944 124202592 165603456 186303888 248405184 372607776 496810368 745215552 1490431104