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3435483072 = 26372556163
BaseRepresentation
bin1100110011000101…
…0100111111000000
322212102110121210210
43030301110333000
524013440424242
61324522154120
7151064060430
oct31461247700
98772417723
103435483072
11150327130a
127ba652940
1342999a728
142483a62c0
15151915d9c
hexccc54fc0

3435483072 has 56 divisors (see below), whose sum is σ = 10388250496. Its totient is φ = 981566208.

The previous prime is 3435483071. The next prime is 3435483091. The reversal of 3435483072 is 2703845343.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3435483072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435483071) 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, 1276738 + ... + 1279425.

Almost surely, 23435483072 is an apocalyptic number.

3435483072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3435483072 is an abundant number, since it is smaller than the sum of its proper divisors (6952767424).

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

3435483072 is a wasteful number, since it uses less digits than its factorization.

3435483072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556185 (or 2556175 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 3435483072 is about 58612.9940542198. The cubic root of 3435483072 is about 1508.9074552361.

The spelling of 3435483072 in words is "three billion, four hundred thirty-five million, four hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2556163 5112326 7668489 10224652 15336978 17893141 20449304 30673956 35786282 40898608 53679423 61347912 71572564 81797216 107358846 122695824 143145128 163594432 214717692 245391648 286290256 429435384 490783296 572580512 858870768 1145161024 1717741536 3435483072