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3412120440 = 233528434337
BaseRepresentation
bin1100101101100000…
…1101001101111000
322210210111200022010
43023120031031320
523442000323230
61322325325520
7150361355001
oct31330151570
98723450263
103412120440
1114a1064653
127b28668a0
13424baa8a1
142452441a8
1514e84d9b0
hexcb60d378

3412120440 has 32 divisors (see below), whose sum is σ = 10236361680. Its totient is φ = 909898752.

The previous prime is 3412120417. The next prime is 3412120441. The reversal of 3412120440 is 440212143.

3412120440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412120441) 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, 14217049 + ... + 14217288.

Almost surely, 23412120440 is an apocalyptic number.

3412120440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412120440 is an abundant number, since it is smaller than the sum of its proper divisors (6824241240).

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

3412120440 is a wasteful number, since it uses less digits than its factorization.

3412120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28434351 (or 28434347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3412120440 is about 58413.3584037076. The cubic root of 3412120440 is about 1505.4792850308.

Adding to 3412120440 its reverse (440212143), we get a palindrome (3852332583).

The spelling of 3412120440 in words is "three billion, four hundred twelve million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28434337 56868674 85303011 113737348 142171685 170606022 227474696 284343370 341212044 426515055 568686740 682424088 853030110 1137373480 1706060220 3412120440