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1342654038 = 23211191732063
BaseRepresentation
bin101000000000111…
…0100011001010110
310110120102220002100
41100001310121112
510222204412123
6341121422530
745162241155
oct12001643126
93416386070
101342654038
11629990940
1231579aa46
1318522085b
14ca46559c
157cd18643
hex50074656

1342654038 has 96 divisors (see below), whose sum is σ = 3361512960. Its totient is φ = 383037120.

The previous prime is 1342654031. The next prime is 1342654097. The reversal of 1342654038 is 8304562431.

It is a junction number, because it is equal to n+sod(n) for n = 1342653993 and 1342654011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342654031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649795 + ... + 651857.

It is an arithmetic number, because the mean of its divisors is an integer number (35015760).

Almost surely, 21342654038 is an apocalyptic number.

1342654038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342654038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680756480).

1342654038 is an abundant number, since it is smaller than the sum of its proper divisors (2018858922).

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

1342654038 is a wasteful number, since it uses less digits than its factorization.

1342654038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1342654038 is about 36642.2438996304. The cubic root of 1342654038 is about 1103.2011539451.

The spelling of 1342654038 in words is "one billion, three hundred forty-two million, six hundred fifty-four thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 173 198 209 342 346 418 519 627 1038 1254 1557 1881 1903 2063 3114 3287 3762 3806 4126 5709 6189 6574 9861 11418 12378 17127 18567 19722 22693 29583 34254 36157 37134 39197 45386 59166 68079 72314 78394 108471 117591 136158 204237 216942 235182 325413 352773 356899 408474 431167 650826 705546 713798 862334 1070697 1293501 2141394 2587002 3212091 3880503 3925889 6424182 6781081 7761006 7851778 11777667 13562162 20343243 23555334 35333001 40686486 61029729 70666002 74591891 122059458 149183782 223775673 447551346 671327019 1342654038