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341953091272 = 231317368327827
BaseRepresentation
bin1001111100111011111…
…11100001011011001000
31012200122022001212210101
410332131333201123020
521100304442410042
6421031401255144
733463626213652
oct4763577413310
91180568055711
10341953091272
11122026672761
12563334944b4
1326327713180
141279cc776d2
158d6588e6b7
hex4f9dfe16c8

341953091272 has 64 divisors (see below), whose sum is σ = 695515222080. Its totient is φ = 156676852992.

The previous prime is 341953091213. The next prime is 341953091287. The reversal of 341953091272 is 272190359143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12274623 + ... + 12302449.

It is an arithmetic number, because the mean of its divisors is an integer number (10867425345).

Almost surely, 2341953091272 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 341953091272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347757611040).

341953091272 is an abundant number, since it is smaller than the sum of its proper divisors (353562130808).

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

341953091272 is a wasteful number, since it uses less digits than its factorization.

341953091272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28702 (or 28698 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 341953091272 in words is "three hundred forty-one billion, nine hundred fifty-three million, ninety-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 173 346 683 692 1366 1384 2249 2732 4498 5464 8879 8996 17758 17992 27827 35516 55654 71032 111308 118159 222616 236318 361751 472636 723502 945272 1447004 1536067 2894008 3072134 4814071 6144268 9628142 12288536 19005841 19256284 38011682 38512568 62582923 76023364 125165846 152046728 247075933 250331692 494151866 500663384 988303732 1976607464 3288010493 6576020986 13152041972 26304083944 42744136409 85488272818 170976545636 341953091272