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3214020030 = 2351321913319
BaseRepresentation
bin1011111110010010…
…0000110110111110
322021222202010121220
42333210200312332
523040242120110
61250531334210
7142434501534
oct27744406676
98258663556
103214020030
1113aa259901
12758451366
133c2b3a100
14226bd8154
1513c26c370
hexbf920dbe

3214020030 has 96 divisors (see below), whose sum is σ = 8398909440. Its totient is φ = 786764160.

The previous prime is 3214019999. The next prime is 3214020037. The reversal of 3214020030 is 300204123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 3214019991 and 3214020009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966711 + ... + 970029.

It is an arithmetic number, because the mean of its divisors is an integer number (87488640).

Almost surely, 23214020030 is an apocalyptic number.

3214020030 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 3214020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199454720).

3214020030 is an abundant number, since it is smaller than the sum of its proper divisors (5184889410).

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

3214020030 is a wasteful number, since it uses less digits than its factorization.

3214020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3214020030 is about 56692.3277878056. The cubic root of 3214020030 is about 1475.7615571302.

Adding to 3214020030 its reverse (300204123), we get a palindrome (3514224153).

The spelling of 3214020030 in words is "three billion, two hundred fourteen million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 191 195 338 382 390 507 573 845 955 1014 1146 1690 1910 2483 2535 2865 3319 4966 5070 5730 6638 7449 9957 12415 14898 16595 19914 24830 32279 33190 37245 43147 49785 64558 74490 86294 96837 99570 129441 161395 193674 215735 258882 322790 431470 484185 560911 633929 647205 968370 1121822 1267858 1294410 1682733 1901787 2804555 3169645 3365466 3803574 5609110 6339290 8241077 8413665 9508935 16482154 16827330 19017870 24723231 41205385 49446462 82410770 107134001 123616155 214268002 247232310 321402003 535670005 642804006 1071340010 1607010015 3214020030