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1324990464 = 214373851
BaseRepresentation
bin100111011111001…
…1100000000000000
310102100012111012220
41032332130000000
510203144143324
6335251051040
744556142650
oct11676340000
93370174186
101324990464
1161aa16a46
1230b8a0a80
13181677a35
14c7d88360
157b4c9b79
hex4ef9c000

1324990464 has 120 divisors (see below), whose sum is σ = 4038991488. Its totient is φ = 378470400.

The previous prime is 1324990453. The next prime is 1324990477. The reversal of 1324990464 is 4640994231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342139 + ... + 345989.

Almost surely, 21324990464 is an apocalyptic number.

1324990464 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 1324990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019495744).

1324990464 is an abundant number, since it is smaller than the sum of its proper divisors (2714001024).

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

1324990464 is an frugal number, since it uses more digits than its factorization.

1324990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1324990464 is about 36400.4184591331. The cubic root of 1324990464 is about 1098.3419825857.

The spelling of 1324990464 in words is "one billion, three hundred twenty-four million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 3851 4096 5376 6144 7168 7702 8192 10752 11553 12288 14336 15404 16384 21504 23106 24576 26957 28672 30808 43008 46212 49152 53914 57344 61616 80871 86016 92424 107828 114688 123232 161742 172032 184848 215656 246464 323484 344064 369696 431312 492928 646968 739392 862624 985856 1293936 1478784 1725248 1971712 2587872 2957568 3450496 3943424 5175744 5915136 6900992 7886848 10351488 11830272 13801984 15773696 20702976 23660544 27603968 31547392 41405952 47321088 55207936 63094784 82811904 94642176 110415872 165623808 189284352 220831744 331247616 441663488 662495232 1324990464