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3401133435 = 33573599083
BaseRepresentation
bin1100101010111001…
…0010110101111011
322210000211110222000
43022232102311323
523431142232220
61321254032043
7150166104630
oct31256226573
98700743860
103401133435
11149593a987
127ab048623
134228319bb
142439c4187
1514d8cd390
hexcab92d7b

3401133435 has 32 divisors (see below), whose sum is σ = 6910241280. Its totient is φ = 1554803424.

The previous prime is 3401133397. The next prime is 3401133469. The reversal of 3401133435 is 5343311043.

It is not a de Polignac number, because 3401133435 - 212 = 3401129339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3401133399 and 3401133408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798597 + ... + 1800486.

It is an arithmetic number, because the mean of its divisors is an integer number (215945040).

Almost surely, 23401133435 is an apocalyptic number.

3401133435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3401133435 is an abundant number, since it is smaller than the sum of its proper divisors (3509107845).

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

3401133435 is a wasteful number, since it uses less digits than its factorization.

3401133435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599104 (or 3599098 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3401133435 is about 58319.2372635308. The cubic root of 3401133435 is about 1503.8616698061.

Adding to 3401133435 its reverse (5343311043), we get a palindrome (8744444478).

The spelling of 3401133435 in words is "three billion, four hundred one million, one hundred thirty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 3599083 10797249 17995415 25193581 32391747 53986245 75580743 97175241 125967905 161958735 226742229 377903715 485876205 680226687 1133711145 3401133435