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997972308 = 2232417189107
BaseRepresentation
bin111011011110111…
…101100101010100
32120112212020122100
4323132331211110
54020440103213
6243010002100
733505424154
oct7336754524
92515766570
10997972308
11472369403
1223a276330
1312b9aa278
1496780764
155c930773
hex3b7bd954

997972308 has 144 divisors (see below), whose sum is σ = 2674788480. Its totient is φ = 313420800.

The previous prime is 997972307. The next prime is 997972333. The reversal of 997972308 is 803279799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997972307) 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, 9326791 + ... + 9326897.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2997972308 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 997972308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

997972308 is an abundant number, since it is smaller than the sum of its proper divisors (1676816172).

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

997972308 is a wasteful number, since it uses less digits than its factorization.

997972308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 997972308 is about 31590.6997073506. The cubic root of 997972308 is about 999.3236453141.

The spelling of 997972308 in words is "nine hundred ninety-seven million, nine hundred seventy-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 71 82 89 107 123 142 164 178 213 214 246 267 284 321 356 369 426 428 492 534 639 642 738 801 852 963 1068 1278 1284 1476 1602 1926 2556 2911 3204 3649 3852 4387 5822 6319 7298 7597 8733 8774 9523 10947 11644 12638 13161 14596 15194 17466 17548 18957 19046 21894 22791 25276 26199 26322 28569 30388 32841 34932 37914 38092 39483 43788 45582 52398 52644 56871 57138 65682 68373 75828 78966 85707 91164 104796 113742 114276 131364 136746 157932 171414 227484 259079 273492 311477 342828 390443 518158 622954 676133 777237 780886 934431 1036316 1171329 1245908 1352266 1554474 1561772 1868862 2028399 2331711 2342658 2704532 2803293 3108948 3513987 3737724 4056798 4663422 4685316 5606586 6085197 7027974 8113596 9326844 11213172 12170394 14055948 24340788 27721453 55442906 83164359 110885812 166328718 249493077 332657436 498986154 997972308