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3408220512 = 253218616359
BaseRepresentation
bin1100101100100101…
…0101000101100000
322210112011112121100
43023021111011200
523440001024022
61322105554400
7150313252644
oct31311250540
98715145540
103408220512
111499940574
127b14a5a00
13424143738
1424490ac24
1514e32d1ac
hexcb255160

3408220512 has 72 divisors (see below), whose sum is σ = 9698860080. Its totient is φ = 1135284480.

The previous prime is 3408220499. The next prime is 3408220561. The reversal of 3408220512 is 2150228043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532789 + ... + 539147.

It is an arithmetic number, because the mean of its divisors is an integer number (134706390).

Almost surely, 23408220512 is an apocalyptic number.

3408220512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3408220512 is an abundant number, since it is smaller than the sum of its proper divisors (6290639568).

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

3408220512 is a wasteful number, since it uses less digits than its factorization.

3408220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3408220512 is about 58379.9667009155. The cubic root of 3408220512 is about 1504.9054972430.

Adding to 3408220512 its reverse (2150228043), we get a palindrome (5558448555).

The spelling of 3408220512 in words is "three billion, four hundred eight million, two hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1861 3722 5583 6359 7444 11166 12718 14888 16749 19077 22332 25436 29776 33498 38154 44664 50872 57231 59552 66996 76308 89328 101744 114462 133992 152616 178656 203488 228924 267984 305232 457848 535968 610464 915696 1831392 11834099 23668198 35502297 47336396 71004594 94672792 106506891 142009188 189345584 213013782 284018376 378691168 426027564 568036752 852055128 1136073504 1704110256 3408220512