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1331353674 = 2327171932713
BaseRepresentation
bin100111101011010…
…1101100001001010
310102210011202220100
41033112231201022
510211311304144
6340035310230
744664214410
oct11726554112
93383152810
101331353674
116235727a2
12311a4b376
13182a95151
14c8b632b0
157bd35269
hex4f5ad84a

1331353674 has 96 divisors (see below), whose sum is σ = 3674436480. Its totient is φ = 339158016.

The previous prime is 1331353651. The next prime is 1331353733. The reversal of 1331353674 is 4763531331.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24342 + ... + 57054.

It is an arithmetic number, because the mean of its divisors is an integer number (38275380).

Almost surely, 21331353674 is an apocalyptic number.

1331353674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331353674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837218240).

1331353674 is an abundant number, since it is smaller than the sum of its proper divisors (2343082806).

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

1331353674 is a wasteful number, since it uses less digits than its factorization.

1331353674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32764 (or 32761 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 1331353674 is about 36487.7194957427. The cubic root of 1331353674 is about 1100.0974222255.

The spelling of 1331353674 in words is "one billion, three hundred thirty-one million, three hundred fifty-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 5814 6783 13566 20349 32713 40698 65426 98139 196278 228991 294417 457982 556121 588834 621547 686973 1112242 1243094 1373946 1668363 1864641 2060919 3336726 3729282 3892847 4121838 4350829 5005089 5593923 7785694 8701658 10010178 10566299 11187846 11678541 13052487 21132598 23357082 26104974 31698897 35035623 39157461 63397794 70071246 73964093 78314922 95096691 147928186 190193382 221892279 443784558 665676837 1331353674