Search a number
-
+
354335115640 = 235111039775079
BaseRepresentation
bin1010010100000000000…
…01001100100101111000
31020212121020000220001111
411022000001030211320
521301134242200030
6430440155130104
734412516534242
oct5120001144570
91225536026044
10354335115640
111272aaa31950
125880a143934
132754ba643cc
14132154db092
15933c92262a
hex528004c978

354335115640 has 64 divisors (see below), whose sum is σ = 870569856000. Its totient is φ = 128724954240.

The previous prime is 354335115623. The next prime is 354335115653. The reversal of 354335115640 is 46511533453.

It is a super-2 number, since 2×3543351156402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 354335115593 and 354335115602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69621 + ... + 844699.

It is an arithmetic number, because the mean of its divisors is an integer number (13602654000).

Almost surely, 2354335115640 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 354335115640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435284928000).

354335115640 is an abundant number, since it is smaller than the sum of its proper divisors (516234740360).

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

354335115640 is a wasteful number, since it uses less digits than its factorization.

354335115640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776140 (or 776136 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 354335115640 in words is "three hundred fifty-four billion, three hundred thirty-five million, one hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1039 2078 4156 5195 8312 10390 11429 20780 22858 41560 45716 57145 91432 114290 228580 457160 775079 1550158 3100316 3875395 6200632 7750790 8525869 15501580 17051738 31003160 34103476 42629345 68206952 85258690 170517380 341034760 805307081 1610614162 3221228324 4026535405 6442456648 8053070810 8858377891 16106141620 17716755782 32212283240 35433511564 44291889455 70867023128 88583778910 177167557820 354335115640