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341214016 = 261113231621
BaseRepresentation
bin10100010101101…
…000001101000000
3212210001110122011
4110111220031000
51144322322031
653505222304
711312162023
oct2425501500
9783043564
10341214016
11165674160
1296331994
13558cb0b0
14334611ba
151ee506b1
hex14568340

341214016 has 112 divisors (see below), whose sum is σ = 830567808. Its totient is φ = 136857600.

The previous prime is 341214007. The next prime is 341214019. The reversal of 341214016 is 610412143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341214019) 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, 209686 + ... + 211306.

It is an arithmetic number, because the mean of its divisors is an integer number (7415784).

Almost surely, 2341214016 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 341214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415283904).

341214016 is an abundant number, since it is smaller than the sum of its proper divisors (489353792).

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

341214016 is a wasteful number, since it uses less digits than its factorization.

341214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 341214016 is about 18471.9792117683. The cubic root of 341214016 is about 698.7829300397.

Adding to 341214016 its reverse (610412143), we get a palindrome (951626159).

The spelling of 341214016 in words is "three hundred forty-one million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 143 176 184 208 253 286 299 352 368 416 506 572 598 704 736 832 1012 1144 1196 1472 1621 2024 2288 2392 3242 3289 4048 4576 4784 6484 6578 8096 9152 9568 12968 13156 16192 17831 19136 21073 25936 26312 35662 37283 42146 51872 52624 71324 74566 84292 103744 105248 142648 149132 168584 210496 231803 285296 298264 337168 410113 463606 484679 570592 596528 674336 820226 927212 969358 1141184 1193056 1348672 1640452 1854424 1938716 2386112 3280904 3708848 3877432 5331469 6561808 7417696 7754864 10662938 13123616 14835392 15509728 21325876 26247232 31019456 42651752 85303504 170607008 341214016