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1300434140 = 2251371573023
BaseRepresentation
bin100110110000011…
…0000110011011100
310100121222220021102
41031200300303130
510130402343030
6333012452232
744140336115
oct11540606334
93317886242
101300434140
11608074465
1230361a078
1317955a775
14c49d520c
1579278c45
hex4d830cdc

1300434140 has 48 divisors (see below), whose sum is σ = 2769282432. Its totient is φ = 512918016.

The previous prime is 1300434131. The next prime is 1300434151. The reversal of 1300434140 is 414340031.

It is a happy number.

It is a super-2 number, since 2×13004341402 = 3382257904955079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428669 + ... + 431691.

It is an arithmetic number, because the mean of its divisors is an integer number (57693384).

Almost surely, 21300434140 is an apocalyptic number.

1300434140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300434140 is an abundant number, since it is smaller than the sum of its proper divisors (1468848292).

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

1300434140 is a wasteful number, since it uses less digits than its factorization.

1300434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1300434140 is about 36061.5326906664. The cubic root of 1300434140 is about 1091.5143611564.

Adding to 1300434140 its reverse (414340031), we get a palindrome (1714774171).

The spelling of 1300434140 in words is "one billion, three hundred million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 137 157 274 314 548 628 685 785 1370 1570 2740 3023 3140 6046 12092 15115 21509 30230 43018 60460 86036 107545 215090 414151 430180 474611 828302 949222 1656604 1898444 2070755 2373055 4141510 4746110 8283020 9492220 65021707 130043414 260086828 325108535 650217070 1300434140