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3214403220 = 2235719938459
BaseRepresentation
bin1011111110010111…
…1110011010010100
322022000110121021010
42333211332122110
523040341400340
61250543452220
7142440655650
oct27745763224
98260417233
103214403220
1113aa4a0796
127585b7070
133c2c42652
14226c97a60
1513c2e5b80
hexbf97e694

3214403220 has 96 divisors (see below), whose sum is σ = 10338048000. Its totient is φ = 731009664.

The previous prime is 3214403191. The next prime is 3214403251. The reversal of 3214403220 is 223044123.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64351 + ... + 102809.

It is an arithmetic number, because the mean of its divisors is an integer number (107688000).

Almost surely, 23214403220 is an apocalyptic number.

3214403220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169024000).

3214403220 is an abundant number, since it is smaller than the sum of its proper divisors (7123644780).

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

3214403220 is a wasteful number, since it uses less digits than its factorization.

3214403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38677 (or 38675 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3214403220 is about 56695.7072449052. The cubic root of 3214403220 is about 1475.8202037881.

Adding to 3214403220 its reverse (223044123), we get a palindrome (3437447343).

The spelling of 3214403220 in words is "three billion, two hundred fourteen million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 199 210 398 420 597 796 995 1194 1393 1990 2388 2786 2985 3980 4179 5572 5970 6965 8358 11940 13930 16716 20895 27860 38459 41790 76918 83580 115377 153836 192295 230754 269213 384590 461508 538426 576885 769180 807639 1076852 1153770 1346065 1615278 2307540 2692130 3230556 4038195 5384260 7653341 8076390 15306682 16152780 22960023 30613364 38266705 45920046 53573387 76533410 91840092 107146774 114800115 153066820 160720161 214293548 229600230 267866935 321440322 459200460 535733870 642880644 803600805 1071467740 1607201610 3214403220