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1325434432 = 26723307419
BaseRepresentation
bin100111100000000…
…1000011001000000
310102101001001020011
41033000020121000
510203302400212
6335304354304
744563002220
oct11700103100
93371031204
101325434432
1162019a563
1230ba75994
131817a1b3a
14c8062080
157b5664a7
hex4f008640

1325434432 has 112 divisors (see below), whose sum is σ = 3154314240. Its totient is φ = 540283392.

The previous prime is 1325434421. The next prime is 1325434457. The reversal of 1325434432 is 2344345231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (34560) is a multiple of the sum of its prime factors (768).

It is a junction number, because it is equal to n+sod(n) for n = 1325434394 and 1325434403.

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, 3163119 + ... + 3163537.

It is an arithmetic number, because the mean of its divisors is an integer number (28163520).

Almost surely, 21325434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577157120).

1325434432 is an abundant number, since it is smaller than the sum of its proper divisors (1828879808).

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

1325434432 is a wasteful number, since it uses less digits than its factorization.

1325434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The square root of 1325434432 is about 36406.5163397983. The cubic root of 1325434432 is about 1098.4646436546.

Adding to 1325434432 its reverse (2344345231), we get a palindrome (3669779663).

The spelling of 1325434432 in words is "one billion, three hundred twenty-five million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 307 322 368 419 448 614 644 736 838 1228 1288 1472 1676 2149 2456 2576 2933 3352 4298 4912 5152 5866 6704 7061 8596 9637 9824 10304 11732 13408 14122 17192 19274 19648 23464 26816 28244 34384 38548 46928 49427 56488 67459 68768 77096 93856 98854 112976 128633 134918 137536 154192 187712 197708 225952 257266 269836 308384 395416 451904 514532 539672 616768 790832 900431 1029064 1079344 1581664 1800862 2058128 2158688 2958559 3163328 3601724 4116256 4317376 5917118 7203448 8232512 11834236 14406896 20709913 23668472 28813792 41419826 47336944 57627584 82839652 94673888 165679304 189347776 331358608 662717216 1325434432