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1353674196 = 22327415661
BaseRepresentation
bin101000010101111…
…0110110111010100
310111100011202220100
41100223312313110
510233020033241
6342153534100
745355020000
oct12053666724
93440152810
101353674196
11635128506
12319414330
131875ab864
14cbad3700
157dc939b6
hex50af6dd4

1353674196 has 90 divisors (see below), whose sum is σ = 3992102842. Its totient is φ = 386739360.

The previous prime is 1353674167. The next prime is 1353674197. The reversal of 1353674196 is 6914763531.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1350562500 + 3111696 = 36750^2 + 1764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353674197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78606 + ... + 94266.

Almost surely, 21353674196 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 1353674196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996051421).

1353674196 is an abundant number, since it is smaller than the sum of its proper divisors (2638428646).

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

1353674196 is a wasteful number, since it uses less digits than its factorization.

1353674196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15673 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1353674196 is about 36792.3116425157. The cubic root of 1353674196 is about 1106.2111971834.

The spelling of 1353674196 in words is "one billion, three hundred fifty-three million, six hundred seventy-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 15661 21609 28812 31322 43218 46983 62644 86436 93966 109627 140949 187932 219254 281898 328881 438508 563796 657762 767389 986643 1315524 1534778 1973286 2302167 3069556 3946572 4604334 5371723 6906501 9208668 10743446 13813002 16115169 21486892 27626004 32230338 37602061 48345507 64460676 75204122 96691014 112806183 150408244 193382028 225612366 338418549 451224732 676837098 1353674196