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3466720080 = 2433523312251
BaseRepresentation
bin1100111010100001…
…1111001101010000
322221121020121221000
43032220133031100
524044440020310
61331555502000
7151623430425
oct31650371520
98847217830
103466720080
11151996711a
12808bb7900
134332b6775
1424c5b7d4c
151545364c0
hexcea1f350

3466720080 has 320 divisors, whose sum is σ = 12867747840. Its totient is φ = 855360000.

The previous prime is 3466720067. The next prime is 3466720093. The reversal of 3466720080 is 800276643.

3466720080 is digitally balanced in base 2, because in such base 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 (3466720067) and next prime (3466720093).

It is a super-2 number, since 2×34667200802 = 24036296226150412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538955 + ... + 1541205.

It is an arithmetic number, because the mean of its divisors is an integer number (40211712).

Almost surely, 23466720080 is an apocalyptic number.

3466720080 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 3466720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433873920).

3466720080 is an abundant number, since it is smaller than the sum of its proper divisors (9401027760).

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

3466720080 is a wasteful number, since it uses less digits than its factorization.

3466720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3466720080 is about 58878.8593639517. The cubic root of 3466720080 is about 1513.4668933638.

The spelling of 3466720080 in words is "three billion, four hundred sixty-six million, seven hundred twenty thousand, eighty".