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1429317936 = 243243230833
BaseRepresentation
bin101010100110001…
…1010100100110000
310200121111212121100
41111030122210300
510411401133221
6353455124400
750264000454
oct12514324460
93617455540
101429317936
116738a37a2
1233a813700
1319a175177
14d7b84664
1585736926
hex5531a930

1429317936 has 60 divisors (see below), whose sum is σ = 4093148488. Its totient is φ = 465357312.

The previous prime is 1429317931. The next prime is 1429317941. The reversal of 1429317936 is 6397139241.

It is an interprime number because it is at equal distance from previous prime (1429317931) and next prime (1429317941).

It is a junction number, because it is equal to n+sod(n) for n = 1429317891 and 1429317900.

It is not an unprimeable number, because it can be changed into a prime (1429317931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109225 + ... + 121608.

Almost surely, 21429317936 is an apocalyptic number.

1429317936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1429317936 is an abundant number, since it is smaller than the sum of its proper divisors (2663830552).

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

1429317936 is a wasteful number, since it uses less digits than its factorization.

1429317936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230890 (or 230881 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1429317936 is about 37806.3213761932. The cubic root of 1429317936 is about 1126.4440218448. Note that the first 3 decimals are identical.

The spelling of 1429317936 in words is "one billion, four hundred twenty-nine million, three hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 230833 461666 692499 923332 1384998 1846664 2077497 2769996 3693328 4154994 5539992 8309988 9925819 11079984 16619976 19851638 29777457 33239952 39703276 59554914 79406552 89332371 119109828 158813104 178664742 238219656 357329484 476439312 714658968 1429317936