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3374331921 = 32174672
BaseRepresentation
bin1100100100100000…
…0011100000010001
322201011101211012100
43021020003200101
523402312110141
61314455351013
7146422230252
oct31110034021
98634354170
103374331921
1114817a4574
127a2082469
1341a10980c
14240208b29
1514b3870b6
hexc9203811

3374331921 has 45 divisors (see below), whose sum is σ = 5257105581. Its totient is φ = 2085627456.

The previous prime is 3374331907. The next prime is 3374331943. The reversal of 3374331921 is 1291334733.

It is a happy number.

The square root of 3374331921 is 58089.

It is a perfect power (a square), and thus also a powerful number.

3374331921 is a `hidden beast` number, since 3 + 37 + 433 + 192 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1047234321 + 2327097600 = 32361^2 + 48240^2 .

It is not a de Polignac number, because 3374331921 - 223 = 3365943313 is a prime.

It is a super-2 number, since 2×33743319212 = 22772231826159100482, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3374331901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50363130 + ... + 50363196.

Almost surely, 23374331921 is an apocalyptic number.

3374331921 is the 58089-th square number.

3374331921 is the 29045-th centered octagonal number.

It is an amenable number.

3374331921 is a deficient number, since it is larger than the sum of its proper divisors (1882773660).

3374331921 is an frugal number, since it uses more digits than its factorization.

3374331921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 87 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The cubic root of 3374331921 is about 1499.9010188020.

Multiplying 3374331921 by its sum of digits (36), we get a square (121475949156 = 3485342).

The spelling of 3374331921 in words is "three billion, three hundred seventy-four million, three hundred thirty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 17 51 67 153 201 289 603 867 1139 2601 3417 4489 4913 10251 13467 14739 19363 40401 44217 58089 76313 83521 174267 228939 250563 329171 686817 751689 987513 1297321 2962539 3891963 5595907 11675889 16787721 22054457 50363163 66163371 198490113 374925769 1124777307 3374331921