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3432699648 = 283577883
BaseRepresentation
bin1100110010011010…
…1101011100000000
322212020020012200000
43030212231130000
524012232342043
61324342400000
7151031315460
oct31446553400
98766205600
103432699648
111501740064
127b9730000
13429234831
14247c7dba0
151515662d3
hexcc9ad700

3432699648 has 216 divisors, whose sum is σ = 11731644288. Its totient is φ = 980646912.

The previous prime is 3432699629. The next prime is 3432699689. The reversal of 3432699648 is 8469962343.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3432699594 and 3432699603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431515 + ... + 439397.

It is an arithmetic number, because the mean of its divisors is an integer number (54313168).

Almost surely, 23432699648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865822144).

3432699648 is an abundant number, since it is smaller than the sum of its proper divisors (8298944640).

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

3432699648 is an frugal number, since it uses more digits than its factorization.

3432699648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7895 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3432699648 is about 58589.2451564278. The cubic root of 3432699648 is about 1508.4998401684.

The spelling of 3432699648 in words is "three billion, four hundred thirty-two million, six hundred ninety-nine thousand, six hundred forty-eight".