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3434340040 = 235337254773
BaseRepresentation
bin1100110010110011…
…1101111011001000
322212100022112212021
43030230331323020
524013142340130
61324441454224
7151051260115
oct31454757310
98770275767
103434340040
11150266055a
127ba1a1374
1342968a391
1424818990c
1515178c37a
hexccb3dec8

3434340040 has 32 divisors (see below), whose sum is σ = 7750225080. Its totient is φ = 1369654272.

The previous prime is 3434340029. The next prime is 3434340089. The reversal of 3434340040 is 400434343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3182990724 + 251349316 = 56418^2 + 15854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3434339987 and 3434340014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113907 + ... + 140866.

Almost surely, 23434340040 is an apocalyptic number.

It is an amenable number.

3434340040 is an abundant number, since it is smaller than the sum of its proper divisors (4315885040).

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

3434340040 is a wasteful number, since it uses less digits than its factorization.

3434340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255121 (or 255117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3434340040 is about 58603.2425724038. The cubic root of 3434340040 is about 1508.7400919875.

Adding to 3434340040 its reverse (400434343), we get a palindrome (3834774383).

The spelling of 3434340040 in words is "three billion, four hundred thirty-four million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 254773 509546 1019092 1273865 2038184 2547730 5095460 10190920 85858501 171717002 343434004 429292505 686868008 858585010 1717170020 3434340040