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1430326464 = 2637337587
BaseRepresentation
bin101010101000001…
…0000110011000000
310200200102010001020
41111100100303000
510412130421324
6353532505440
750305401000
oct12520206300
93620363036
101430326464
11674422496
1233b01b280
1319a439228
14d7d68000
1585885679
hex55410cc0

1430326464 has 224 divisors, whose sum is σ = 4540300800. Its totient is φ = 396942336.

The previous prime is 1430326421. The next prime is 1430326481. The reversal of 1430326464 is 4646230341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×14303264644 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436379 + ... + 2436965.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 21430326464 is an apocalyptic number.

1430326464 is a gapful number since it is divisible by the number (14) 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 1430326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270150400).

1430326464 is an abundant number, since it is smaller than the sum of its proper divisors (3109974336).

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

1430326464 is an equidigital number, since it uses as much as digits as its factorization.

1430326464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 1430326464 is about 37819.6571110844. The cubic root of 1430326464 is about 1126.7088995213.

The spelling of 1430326464 in words is "one billion, four hundred thirty million, three hundred twenty-six thousand, four hundred sixty-four".