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3423354660 = 22325111728967
BaseRepresentation
bin1100110000001100…
…0011111100100100
322211120122102202100
43030003003330210
524002334322120
61323410212100
7150556014555
oct31403037444
98746572670
103423354660
1114a7438030
127b6584030
1342731215b
1424692a32c
1515081c490
hexcc0c3f24

3423354660 has 72 divisors (see below), whose sum is σ = 11328198336. Its totient is φ = 829903680.

The previous prime is 3423354653. The next prime is 3423354667. The reversal of 3423354660 is 664533243.

3423354660 is a `hidden beast` number, since 34 + 23 + 3 + 546 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3423354653) and next prime (3423354667).

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

It is not an unprimeable number, because it can be changed into a prime (3423354667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862504 + ... + 866463.

It is an arithmetic number, because the mean of its divisors is an integer number (157336088).

Almost surely, 23423354660 is an apocalyptic number.

3423354660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423354660 is an abundant number, since it is smaller than the sum of its proper divisors (7904843676).

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

3423354660 is a wasteful number, since it uses less digits than its factorization.

3423354660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728993 (or 1728988 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3423354660 is about 58509.4407766815. The cubic root of 3423354660 is about 1507.1297111206.

The spelling of 3423354660 in words is "three billion, four hundred twenty-three million, three hundred fifty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1728967 3457934 5186901 6915868 8644835 10373802 15560703 17289670 19018637 20747604 25934505 31121406 34579340 38037274 51869010 57055911 62242812 76074548 77803515 95093185 103738020 114111822 155607030 171167733 190186370 228223644 285279555 311214060 342335466 380372740 570559110 684670932 855838665 1141118220 1711677330 3423354660