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334235242112 = 2710931376537
BaseRepresentation
bin1001101110100011111…
…10010000111010000000
31011221201102120112002012
410313101332100322000
520434003210221422
6413313501112052
733101442453002
oct4672176207200
91157642515065
10334235242112
11119826098422
125493a858628
132569778b715
1412269c58372
158a630294e2
hex4dd1f90e80

334235242112 has 64 divisors (see below), whose sum is σ = 674123742600. Its totient is φ = 165053251584.

The previous prime is 334235242073. The next prime is 334235242139. The reversal of 334235242112 is 211242532433.

It can be written as a sum of positive squares in 4 ways, for example, as 301119977536 + 33115264576 = 548744^2 + 181976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3342352421122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4328708 + ... + 4405244.

Almost surely, 2334235242112 is an apocalyptic number.

334235242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334235242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337061871300).

334235242112 is an abundant number, since it is smaller than the sum of its proper divisors (339888500488).

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

334235242112 is a wasteful number, since it uses less digits than its factorization.

334235242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76973 (or 76961 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

Adding to 334235242112 its reverse (211242532433), we get a palindrome (545477774545).

The spelling of 334235242112 in words is "three hundred thirty-four billion, two hundred thirty-five million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 313 436 626 872 1252 1744 2504 3488 5008 6976 10016 13952 20032 34117 40064 68234 76537 136468 153074 272936 306148 545872 612296 1091744 1224592 2183488 2449184 4366976 4898368 8342533 9796736 16685066 23956081 33370132 47912162 66740264 95824324 133480528 191648648 266961056 383297296 533922112 766594592 1067844224 1533189184 2611212829 3066378368 5222425658 10444851316 20889702632 41779405264 83558810528 167117621056 334235242112