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3412332240 = 243514218051
BaseRepresentation
bin1100101101100100…
…0000111011010000
322210210220102211120
43023121000323100
523442024112430
61322334042240
7150363226332
oct31331007320
98723812746
103412332240
1114a1199799
127b2949380
13424c53105
1424529b452
1514e891610
hexcb640ed0

3412332240 has 40 divisors (see below), whose sum is σ = 10578230688. Its totient is φ = 909955200.

The previous prime is 3412332181. The next prime is 3412332247. The reversal of 3412332240 is 422332143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34123322402 = 23288022632286835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3412332240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412332247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7108786 + ... + 7109265.

Almost surely, 23412332240 is an apocalyptic number.

3412332240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412332240 is an abundant number, since it is smaller than the sum of its proper divisors (7165898448).

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

3412332240 is a wasteful number, since it uses less digits than its factorization.

3412332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14218067 (or 14218061 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3412332240 is about 58415.1713170474. The cubic root of 3412332240 is about 1505.5104341770.

Adding to 3412332240 its reverse (422332143), we get a palindrome (3834664383).

The spelling of 3412332240 in words is "three billion, four hundred twelve million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14218051 28436102 42654153 56872204 71090255 85308306 113744408 142180510 170616612 213270765 227488816 284361020 341233224 426541530 568722040 682466448 853083060 1137444080 1706166120 3412332240