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3212034320 = 2451171101509
BaseRepresentation
bin1011111101110011…
…1100000100010000
322021212000020202002
42333130330010100
523034240044240
61250421013132
7142411561355
oct27734740420
98255006662
103212034320
1113a9122a20
127578541a8
133c25c3331
1422683c62c
1513bec8d15
hexbf73c110

3212034320 has 160 divisors (see below), whose sum is σ = 8359822080. Its totient is φ = 1137920000.

The previous prime is 3212034317. The next prime is 3212034359. The reversal of 3212034320 is 234302123.

3212034320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3212034292 and 3212034301.

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, 6310226 + ... + 6310734.

It is an arithmetic number, because the mean of its divisors is an integer number (52248888).

Almost surely, 23212034320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179911040).

3212034320 is an abundant number, since it is smaller than the sum of its proper divisors (5147787760).

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

3212034320 is a wasteful number, since it uses less digits than its factorization.

3212034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3212034320 is about 56674.8120420350. The cubic root of 3212034320 is about 1475.4575724877.

Adding to 3212034320 its reverse (234302123), we get a palindrome (3446336443).

It can be divided in two parts, 321203 and 4320, that added together give a palindrome (325523).

The spelling of 3212034320 in words is "three billion, two hundred twelve million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 101 110 142 176 202 220 284 355 404 440 505 509 568 710 781 808 880 1010 1018 1111 1136 1420 1562 1616 2020 2036 2222 2545 2840 3124 3905 4040 4072 4444 5090 5555 5599 5680 6248 7171 7810 8080 8144 8888 10180 11110 11198 12496 14342 15620 17776 20360 22220 22396 27995 28684 31240 35855 36139 40720 44440 44792 51409 55990 57368 62480 71710 72278 78881 88880 89584 102818 111980 114736 143420 144556 157762 180695 205636 223960 257045 286840 289112 315524 361390 394405 397529 411272 447920 514090 565499 573680 578224 631048 722780 788810 795058 822544 1028180 1130998 1262096 1445560 1577620 1590116 1987645 2056360 2261996 2827495 2891120 3155240 3180232 3650039 3975290 4112720 4523992 5654990 6310480 6360464 7300078 7950580 9047984 11309980 14600156 15901160 18250195 22619960 29200312 31802320 36500390 40150429 45239920 58400624 73000780 80300858 146001560 160601716 200752145 292003120 321203432 401504290 642406864 803008580 1606017160 3212034320