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3408924996 = 22323722632
BaseRepresentation
bin1100101100110000…
…0001000101000100
322210120111022222100
43023030001011010
523440141044441
61322133032100
7150322245561
oct31314010504
98716438870
103408924996
11149a281894
127b1785630
1342432c2a9
14244a51868
1514e41bcb6
hexcb301144

3408924996 has 81 divisors (see below), whose sum is σ = 8889993021. Its totient is φ = 1101393504.

The previous prime is 3408924853. The next prime is 3408925021. The reversal of 3408924996 is 6994298043.

The square root of 3408924996 is 58386.

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

It can be written as a sum of positive squares in only one way, i.e., 3050352900 + 358572096 = 55230^2 + 18936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12961561 + ... + 12961823.

Almost surely, 23408924996 is an apocalyptic number.

3408924996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3408924996 is the 58386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408924996

3408924996 is an abundant number, since it is smaller than the sum of its proper divisors (5481068025).

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

3408924996 is a wasteful number, since it uses less digits than its factorization.

3408924996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The cubic root of 3408924996 is about 1505.0091787978.

The spelling of 3408924996 in words is "three billion, four hundred eight million, nine hundred twenty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 263 333 444 526 666 789 1052 1332 1369 1578 2367 2738 3156 4107 4734 5476 8214 9468 9731 12321 16428 19462 24642 29193 38924 49284 58386 69169 87579 116772 138338 175158 207507 276676 350316 360047 415014 622521 720094 830028 1080141 1245042 1440188 2160282 2490084 2559253 3240423 4320564 5118506 6480846 7677759 10237012 12961692 15355518 23033277 30711036 46066554 92133108 94692361 189384722 284077083 378769444 568154166 852231249 1136308332 1704462498 3408924996