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355113642 = 231329374243
BaseRepresentation
bin10101001010101…
…001101010101010
3220202012122100010
4111022221222222
51211402114032
655123152350
711541262512
oct2512515252
9822178303
10355113642
111724a8154
129ab156b6
1358756920
143523c842
1521298ccc
hex152a9aaa

355113642 has 64 divisors (see below), whose sum is σ = 812810880. Its totient is φ = 102622464.

The previous prime is 355113559. The next prime is 355113691. The reversal of 355113642 is 246311553.

It is a super-2 number, since 2×3551136422 = 252211397469008328, which contains 22 as substring.

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, 81573 + ... + 85815.

It is an arithmetic number, because the mean of its divisors is an integer number (12700170).

Almost surely, 2355113642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355113642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406405440).

355113642 is an abundant number, since it is smaller than the sum of its proper divisors (457697238).

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

355113642 is a wasteful number, since it uses less digits than its factorization.

355113642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327.

The product of its digits is 10800, while the sum is 30.

The square root of 355113642 is about 18844.4591856599. The cubic root of 355113642 is about 708.1454224249.

The spelling of 355113642 in words is "three hundred fifty-five million, one hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 29 37 39 58 74 78 87 111 174 222 377 481 754 962 1073 1131 1443 2146 2262 2886 3219 4243 6438 8486 12729 13949 25458 27898 41847 55159 83694 110318 123047 156991 165477 246094 313982 330954 369141 470973 738282 941946 1599611 2040883 3199222 4081766 4552739 4798833 6122649 9105478 9597666 12245298 13658217 27316434 59185607 118371214 177556821 355113642