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1424306464 = 25723299533
BaseRepresentation
bin101010011100101…
…0011000100100000
310200021002021011021
41110321103010200
510404110301324
6353155455224
750203255660
oct12471230440
93607067137
101424306464
11670a90589
12338bb7514
1319910c0b9
14d723c1a0
1585096ae4
hex54e53120

1424306464 has 96 divisors (see below), whose sum is σ = 3459697920. Its totient is φ = 563684352.

The previous prime is 1424306449. The next prime is 1424306473. The reversal of 1424306464 is 4646034241.

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, 144642 + ... + 154174.

It is an arithmetic number, because the mean of its divisors is an integer number (36038520).

Almost surely, 21424306464 is an apocalyptic number.

1424306464 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 1424306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729848960).

1424306464 is an abundant number, since it is smaller than the sum of its proper divisors (2035391456).

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

1424306464 is a wasteful number, since it uses less digits than its factorization.

1424306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602 (or 9594 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 1424306464 is about 37739.9849496525. The cubic root of 1424306464 is about 1125.1259681827.

The spelling of 1424306464 in words is "one billion, four hundred twenty-four million, three hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 92 112 116 161 184 203 224 232 322 368 406 464 644 667 736 812 928 1288 1334 1624 2576 2668 3248 4669 5152 5336 6496 9338 9533 10672 18676 19066 21344 37352 38132 66731 74704 76264 133462 149408 152528 219259 266924 276457 305056 438518 533848 552914 877036 1067696 1105828 1534813 1754072 1935199 2135392 2211656 3069626 3508144 3870398 4423312 6139252 6358511 7016288 7740796 8846624 12278504 12717022 15481592 24557008 25434044 30963184 44509577 49114016 50868088 61926368 89019154 101736176 178038308 203472352 356076616 712153232 1424306464