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340212972 = 2231131711171
BaseRepresentation
bin10100010001110…
…011110011101100
3212201011121110110
4110101303303230
51144043303342
653431540020
711300522361
oct2421636354
9781147413
10340212972
11165050050
1295b2a610
135563a568
1433280468
151ed03c9c
hex14473cec

340212972 has 96 divisors (see below), whose sum is σ = 907296768. Its totient is φ = 98280000.

The previous prime is 340212967. The next prime is 340212973. The reversal of 340212972 is 279212043.

It is not an unprimeable number, because it can be changed into a prime (340212973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289947 + ... + 291117.

It is an arithmetic number, because the mean of its divisors is an integer number (9451008).

Almost surely, 2340212972 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 340212972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453648384).

340212972 is an abundant number, since it is smaller than the sum of its proper divisors (567083796).

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

340212972 is a wasteful number, since it uses less digits than its factorization.

340212972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 340212972 is about 18444.8630247015. The cubic root of 340212972 is about 698.0989041657.

It can be divided in two parts, 340 and 212972, that added together give a palindrome (213312).

The spelling of 340212972 in words is "three hundred forty million, two hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 124 132 142 186 213 284 341 372 426 682 781 852 1023 1171 1364 1562 2046 2201 2342 2343 3124 3513 4092 4402 4684 4686 6603 7026 8804 9372 12881 13206 14052 24211 25762 26412 36301 38643 48422 51524 72602 72633 77286 83141 96844 108903 145204 145266 154572 166282 217806 249423 290532 332564 399311 435612 498846 798622 914551 997692 1197933 1597244 1829102 2395866 2577371 2743653 3658204 4791732 5154742 5487306 7732113 10309484 10974612 15464226 28351081 30928452 56702162 85053243 113404324 170106486 340212972