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396634122440 = 235109193471353
BaseRepresentation
bin1011100010110010011…
…11000110100011001000
31101220210010002001222222
411301121033012203020
522444301313404230
6502113341433212
740440651261623
oct5613117064310
91356703061888
10396634122440
11143236692806
1264a53b6b808
132b530201a0a
14152a9158dba
15a4b61816e5
hex5c593c68c8

396634122440 has 64 divisors (see below), whose sum is σ = 905282492400. Its totient is φ = 156383281152.

The previous prime is 396634122373. The next prime is 396634122449. The reversal of 396634122440 is 44221436693.

It can be written as a sum of positive squares in 8 ways, for example, as 187889305444 + 208744816996 = 433462^2 + 456886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 396634122391 and 396634122400.

It is not an unprimeable number, because it can be changed into a prime (396634122449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605804 + ... + 1077156.

Almost surely, 2396634122440 is an apocalyptic number.

It is an amenable number.

396634122440 is an abundant number, since it is smaller than the sum of its proper divisors (508648369960).

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

396634122440 is a wasteful number, since it uses less digits than its factorization.

396634122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471666 (or 471662 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 396634122440 in words is "three hundred ninety-six billion, six hundred thirty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 193 218 386 436 545 772 872 965 1090 1544 1930 2180 3860 4360 7720 21037 42074 84148 105185 168296 210370 420740 471353 841480 942706 1885412 2356765 3770824 4713530 9427060 18854120 51377477 90971129 102754954 181942258 205509908 256887385 363884516 411019816 454855645 513774770 727769032 909711290 1027549540 1819422580 2055099080 3638845160 9915853061 19831706122 39663412244 49579265305 79326824488 99158530610 198317061220 396634122440