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1430263340 = 2251161197541
BaseRepresentation
bin101010101000000…
…0001011000101100
310200200021220110022
41111100001120230
510412121411330
6353531301312
750305015652
oct12520013054
93620256408
101430263340
1167438a020
1233abaa838
1319a41658c
14d7d4cdd2
1585871ae5
hex5540162c

1430263340 has 96 divisors (see below), whose sum is σ = 3353410368. Its totient is φ = 508032000.

The previous prime is 1430263301. The next prime is 1430263357. The reversal of 1430263340 is 433620341.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2643470 + ... + 2644010.

It is an arithmetic number, because the mean of its divisors is an integer number (34931358).

Almost surely, 21430263340 is an apocalyptic number.

1430263340 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 1430263340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676705184).

1430263340 is an abundant number, since it is smaller than the sum of its proper divisors (1923147028).

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

1430263340 is a wasteful number, since it uses less digits than its factorization.

1430263340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 1430263340 is about 37818.8225623168. The cubic root of 1430263340 is about 1126.6923244199.

Adding to 1430263340 its reverse (433620341), we get a palindrome (1863883681).

The spelling of 1430263340 in words is "one billion, four hundred thirty million, two hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 197 220 244 305 394 541 610 671 788 985 1082 1220 1342 1970 2164 2167 2684 2705 3355 3940 4334 5410 5951 6710 8668 10820 10835 11902 12017 13420 21670 23804 24034 29755 33001 43340 48068 59510 60085 66002 106577 119020 120170 132004 132187 165005 213154 240340 264374 330010 363011 426308 528748 532885 660020 660935 726022 1065770 1172347 1321870 1452044 1815055 2131540 2344694 2643740 3630110 4689388 5861735 6501197 7260220 11723470 13002394 23446940 26004788 32505985 65011970 71513167 130023940 143026334 286052668 357565835 715131670 1430263340