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3414120234 = 2371724119841
BaseRepresentation
bin1100101101111111…
…0101011100101010
322210221021021111120
43023133311130222
523443003321414
61322440240110
7150414354210
oct31337653452
98727237446
103414120234
1114a2200078
127b3470036
1342542abb5
14245604cb0
1514eae62a9
hexcb7f572a

3414120234 has 64 divisors (see below), whose sum is σ = 8297448192. Its totient is φ = 914227200.

The previous prime is 3414120223. The next prime is 3414120247. The reversal of 3414120234 is 4320214143.

It is a Curzon number.

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, 162154 + ... + 181994.

It is an arithmetic number, because the mean of its divisors is an integer number (129647628).

Almost surely, 23414120234 is an apocalyptic number.

3414120234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414120234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148724096).

3414120234 is an abundant number, since it is smaller than the sum of its proper divisors (4883327958).

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

3414120234 is a wasteful number, since it uses less digits than its factorization.

3414120234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20111.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3414120234 is about 58430.4735048416. The cubic root of 3414120234 is about 1505.7733407380.

Adding to 3414120234 its reverse (4320214143), we get a palindrome (7734334377).

The spelling of 3414120234 in words is "three billion, four hundred fourteen million, one hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 241 357 482 714 723 1446 1687 3374 4097 5061 8194 10122 12291 19841 24582 28679 39682 57358 59523 86037 119046 138887 172074 277774 337297 416661 674594 833322 1011891 2023782 2361079 4722158 4781681 7083237 9563362 14166474 14345043 28690086 33471767 66943534 81288577 100415301 162577154 200830602 243865731 487731462 569020039 1138040078 1707060117 3414120234