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1321072434 = 232112718543
BaseRepresentation
bin100111010111101…
…1111011100110010
310102001211102200200
41032233133130302
510201143304214
6335031100030
744510634063
oct11657373462
93361742620
101321072434
11618790300
1230a511616
13180905586
14c764856a
157aea3d09
hex4ebdf732

1321072434 has 72 divisors (see below), whose sum is σ = 3190876416. Its totient is φ = 394640400.

The previous prime is 1321072429. The next prime is 1321072453. The reversal of 1321072434 is 4342701231.

It is a happy number.

1321072434 is a `hidden beast` number, since 13 + 210 + 7 + 2 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1321072398 and 1321072407.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150367 + ... + 158909.

It is an arithmetic number, because the mean of its divisors is an integer number (44317728).

Almost surely, 21321072434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321072434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595438208).

1321072434 is an abundant number, since it is smaller than the sum of its proper divisors (1869803982).

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

1321072434 is a wasteful number, since it uses less digits than its factorization.

1321072434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1321072434 is about 36346.5601398537. The cubic root of 1321072434 is about 1097.2583054754.

Adding to 1321072434 its reverse (4342701231), we get a palindrome (5663773665).

The spelling of 1321072434 in words is "one billion, three hundred twenty-one million, seventy-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 121 142 198 213 242 363 426 639 726 781 1089 1278 1562 2178 2343 4686 7029 8543 8591 14058 17086 17182 25629 25773 51258 51546 76887 77319 93973 153774 154638 187946 281919 563838 606553 845757 1033703 1213106 1691514 1819659 2067406 3101109 3639318 5458977 6202218 6672083 9303327 10917954 13344166 18606654 20016249 40032498 60048747 73392913 120097494 146785826 220178739 440357478 660536217 1321072434