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1430012320 = 255113372411
BaseRepresentation
bin101010100111100…
…0100000110100000
310200122211011010021
41111033010012200
510412040343240
6353522043224
750302622062
oct12517040640
93618734107
101430012320
11674228470
1233aaa9514
1319a359249
14d7cc5732
158582254a
hex553c41a0

1430012320 has 96 divisors (see below), whose sum is σ = 3698001216. Its totient is φ = 518246400.

The previous prime is 1430012317. The next prime is 1430012321. The reversal of 1430012320 is 232100341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1430012294 and 1430012303.

It is not an unprimeable number, because it can be changed into a prime (1430012321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591915 + ... + 594325.

It is an arithmetic number, because the mean of its divisors is an integer number (38520846).

Almost surely, 21430012320 is an apocalyptic number.

1430012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849000608).

1430012320 is an abundant number, since it is smaller than the sum of its proper divisors (2267988896).

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

1430012320 is a wasteful number, since it uses less digits than its factorization.

1430012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1430012320 is about 37815.5036988799. The cubic root of 1430012320 is about 1126.6264067559.

Adding to 1430012320 its reverse (232100341), we get a palindrome (1662112661).

The spelling of 1430012320 in words is "one billion, four hundred thirty million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 337 352 440 674 880 1348 1685 1760 2411 2696 3370 3707 4822 5392 6740 7414 9644 10784 12055 13480 14828 18535 19288 24110 26521 26960 29656 37070 38576 48220 53042 53920 59312 74140 77152 96440 106084 118624 132605 148280 192880 212168 265210 296560 385760 424336 530420 593120 812507 848672 1060840 1625014 2121680 3250028 4062535 4243360 6500056 8125070 8937577 13000112 16250140 17875154 26000224 32500280 35750308 44687885 65000560 71500616 89375770 130001120 143001232 178751540 286002464 357503080 715006160 1430012320