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401369688 = 233323173467
BaseRepresentation
bin10111111011000…
…110101001011000
31000222020200201000
4113323012221120
51310222312223
6103454425000
712642405006
oct2773065130
91028220630
10401369688
11196620a95
12b2502160
1365200b75
143b43da76
1525384543
hex17ec6a58

401369688 has 128 divisors (see below), whose sum is σ = 1172620800. Its totient is φ = 126960768.

The previous prime is 401369671. The next prime is 401369701. The reversal of 401369688 is 886963104.

It is a super-2 number, since 2×4013696882 = 322195252890434688, which contains 22 as substring.

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, 859231 + ... + 859697.

It is an arithmetic number, because the mean of its divisors is an integer number (9161100).

Almost surely, 2401369688 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 401369688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586310400).

401369688 is an abundant number, since it is smaller than the sum of its proper divisors (771251112).

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

401369688 is a wasteful number, since it uses less digits than its factorization.

401369688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 401369688 is about 20034.2129368738. The cubic root of 401369688 is about 737.6463372546.

The spelling of 401369688 in words is "four hundred one million, three hundred sixty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 173 184 207 216 276 346 414 467 519 552 621 692 828 934 1038 1242 1384 1401 1557 1656 1868 2076 2484 2802 3114 3736 3979 4152 4203 4671 4968 5604 6228 7958 8406 9342 10741 11208 11937 12456 12609 15916 16812 18684 21482 23874 25218 31832 32223 33624 35811 37368 42964 47748 50436 64446 71622 80791 85928 95496 96669 100872 107433 128892 143244 161582 193338 214866 242373 257784 286488 290007 323164 386676 429732 484746 580014 646328 727119 773352 859464 969492 1160028 1454238 1858193 1938984 2181357 2320056 2908476 3716386 4362714 5574579 5816952 7432772 8725428 11149158 14865544 16723737 17450856 22298316 33447474 44596632 50171211 66894948 100342422 133789896 200684844 401369688