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3407465880 = 2334572132127
BaseRepresentation
bin1100101100011001…
…1100110110011000
322210110202012110000
43023012130312120
523434302402010
61322041453000
7150303660600
oct31306346630
98713665400
103407465880
111499475605
127b11a1160
13423c3b100
14244791c00
1514e22e7c0
hexcb19cd98

3407465880 has 720 divisors, whose sum is σ = 14539979520. Its totient is φ = 713276928.

The previous prime is 3407465869. The next prime is 3407465891. The reversal of 3407465880 is 885647043.

3407465880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3407465869) and next prime (3407465891).

It is a super-2 number, since 2×34074658802 = 23221647446728348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26830377 + ... + 26830503.

It is an arithmetic number, because the mean of its divisors is an integer number (20194416).

Almost surely, 23407465880 is an apocalyptic number.

3407465880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407465880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269989760).

3407465880 is an abundant number, since it is smaller than the sum of its proper divisors (11132513640).

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

3407465880 is a wasteful number, since it uses less digits than its factorization.

3407465880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3407465880 is about 58373.5032356291. The cubic root of 3407465880 is about 1504.7944193684.

The spelling of 3407465880 in words is "three billion, four hundred seven million, four hundred sixty-five thousand, eight hundred eighty".