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1437680340 = 22355295819
BaseRepresentation
bin101010110110001…
…0100001011010100
310201012020201200000
41111230110023110
510421021232330
6354354251300
750425036605
oct12554241324
93635221600
101437680340
11678595578
12341586b30
1319bb12535
14d8d1ddac
1586339560
hex55b142d4

1437680340 has 72 divisors (see below), whose sum is σ = 4522496160. Its totient is φ = 383380128.

The previous prime is 1437680303. The next prime is 1437680341. The reversal of 1437680340 is 430867341.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1437680295 and 1437680304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1437680341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143050 + ... + 152769.

Almost surely, 21437680340 is an apocalyptic number.

1437680340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1437680340 is an abundant number, since it is smaller than the sum of its proper divisors (3084815820).

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

1437680340 is a wasteful number, since it uses less digits than its factorization.

1437680340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295843 (or 295829 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1437680340 is about 37916.7553991636. The cubic root of 1437680340 is about 1128.6365522121.

The spelling of 1437680340 in words is "one billion, four hundred thirty-seven million, six hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 295819 591638 887457 1183276 1479095 1774914 2662371 2958190 3549828 4437285 5324742 5916380 7987113 8874570 10649484 13311855 15974226 17749140 23961339 26623710 31948452 39935565 47922678 53247420 71884017 79871130 95845356 119806695 143768034 159742260 239613390 287536068 359420085 479226780 718840170 1437680340