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3213077340 = 22351141118739
BaseRepresentation
bin1011111110000011…
…1010101101011100
322021220222020111110
42333200322231130
523040021433330
61250455222020
7142423464264
oct27740725534
98256866443
103213077340
1113a9775620
12758077910
133c2899cc5
14226a307a4
1513c132db0
hexbf83ab5c

3213077340 has 96 divisors (see below), whose sum is σ = 10053953280. Its totient is φ = 759923200.

The previous prime is 3213077321. The next prime is 3213077363. The reversal of 3213077340 is 437703123.

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

It is a junction number, because it is equal to n+sod(n) for n = 3213077298 and 3213077307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32310 + ... + 86429.

It is an arithmetic number, because the mean of its divisors is an integer number (104728680).

Almost surely, 23213077340 is an apocalyptic number.

3213077340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213077340 is an abundant number, since it is smaller than the sum of its proper divisors (6840875940).

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

3213077340 is a wasteful number, since it uses less digits than its factorization.

3213077340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118803 (or 118801 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 3213077340 is about 56684.0130901121. The cubic root of 3213077340 is about 1475.6172599898.

The spelling of 3213077340 in words is "three billion, two hundred thirteen million, seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 118739 237478 356217 474956 593695 712434 1187390 1306129 1424868 1781085 2374780 2612258 3562170 3918387 4868299 5224516 6530645 7124340 7836774 9736598 13061290 14604897 15673548 19473196 19591935 24341495 26122580 29209794 39183870 48682990 53551289 58419588 73024485 78367740 97365980 107102578 146048970 160653867 214205156 267756445 292097940 321307734 535512890 642615468 803269335 1071025780 1606538670 3213077340