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3314156430 = 2351310184137
BaseRepresentation
bin1100010110001010…
…0000001110001110
322112222011120221110
43011202200032032
523241411001210
61304505512450
7145061602434
oct30542401616
98488146843
103314156430
111450833862
12785aa2726
1340a7caa10
14236222d54
15145e4c420
hexc58a038e

3314156430 has 64 divisors (see below), whose sum is σ = 8650732608. Its totient is φ = 807705600.

The previous prime is 3314156429. The next prime is 3314156441. The reversal of 3314156430 is 346514133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2679 + ... + 81458.

It is an arithmetic number, because the mean of its divisors is an integer number (135167697).

Almost surely, 23314156430 is an apocalyptic number.

3314156430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314156430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325366304).

3314156430 is an abundant number, since it is smaller than the sum of its proper divisors (5336576178).

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

3314156430 is a wasteful number, since it uses less digits than its factorization.

3314156430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84261.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3314156430 is about 57568.7105118744. The cubic root of 3314156430 is about 1490.9314221965.

The spelling of 3314156430 in words is "three billion, three hundred fourteen million, one hundred fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 3030 3939 6565 7878 13130 19695 39390 84137 168274 252411 420685 504822 841370 1093781 1262055 2187562 2524110 3281343 5468905 6562686 8497837 10937810 16406715 16995674 25493511 32813430 42489185 50987022 84978370 110471881 127467555 220943762 254935110 331415643 552359405 662831286 1104718810 1657078215 3314156430