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3354252040 = 235281457653
BaseRepresentation
bin1100011111101101…
…1101001100001000
322122202121122210001
43013323131030020
523332142031130
61312501132344
7146056446316
oct30773351410
98582548701
103354252040
11147142a227
127973ba0b4
13415bc8c29
1423b69d0b6
1514971c6ca
hexc7edd308

3354252040 has 64 divisors (see below), whose sum is σ = 7602122160. Its totient is φ = 1331957760.

The previous prime is 3354252037. The next prime is 3354252043. The reversal of 3354252040 is 402524533.

It is an interprime number because it is at equal distance from previous prime (3354252037) and next prime (3354252043).

It can be written as a sum of positive squares in 8 ways, for example, as 1952049124 + 1402202916 = 44182^2 + 37446^2 .

It is a super-2 number, since 2×33542520402 = 22502013495688323200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3354252043) 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 15 ways as a sum of consecutive naturals, for example, 5136354 + ... + 5137006.

Almost surely, 23354252040 is an apocalyptic number.

It is an amenable number.

3354252040 is an abundant number, since it is smaller than the sum of its proper divisors (4247870120).

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

3354252040 is a wasteful number, since it uses less digits than its factorization.

3354252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 3354252040 is about 57915.9048966689. The cubic root of 3354252040 is about 1496.9199078320.

Adding to 3354252040 its reverse (402524533), we get a palindrome (3756776573).

The spelling of 3354252040 in words is "three billion, three hundred fifty-four million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 281 457 562 653 914 1124 1306 1405 1828 2248 2285 2612 2810 3265 3656 4570 5224 5620 6530 9140 11240 13060 18280 26120 128417 183493 256834 298421 366986 513668 596842 642085 733972 917465 1027336 1193684 1284170 1467944 1492105 1834930 2387368 2568340 2984210 3669860 5136680 5968420 7339720 11936840 83856301 167712602 335425204 419281505 670850408 838563010 1677126020 3354252040