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1430669864 = 2313131173607
BaseRepresentation
bin101010101000110…
…0100101000101000
310200201001120002202
41111101210220220
510412222413424
6353544115332
750311331111
oct12521445050
93621046082
101430669864
11674637498
1233b165b48
1319a529620
14d8017208
15859022ae
hex55464a28

1430669864 has 64 divisors (see below), whose sum is σ = 2932554240. Its totient is φ = 650407680.

The previous prime is 1430669857. The next prime is 1430669869. The reversal of 1430669864 is 4689660341.

It is a super-3 number, since 3×14306698643 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1430669869) 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, 2356649 + ... + 2357255.

It is an arithmetic number, because the mean of its divisors is an integer number (45821160).

Almost surely, 21430669864 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 1430669864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466277120).

1430669864 is an abundant number, since it is smaller than the sum of its proper divisors (1501884376).

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

1430669864 is a wasteful number, since it uses less digits than its factorization.

1430669864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 1430669864 is about 37824.1968057486. The cubic root of 1430669864 is about 1126.7990609603.

The spelling of 1430669864 in words is "one billion, four hundred thirty million, six hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 131 173 262 346 524 607 692 1048 1214 1384 1703 2249 2428 3406 4498 4856 6812 7891 8996 13624 15782 17992 22663 31564 45326 63128 79517 90652 105011 159034 181304 210022 294619 318068 420044 589238 636136 840088 1033721 1178476 1365143 2067442 2356952 2730286 4134884 5460572 8269768 10921144 13756441 27512882 55025764 110051528 178833733 357667466 715334932 1430669864