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340014016 = 26371391033
BaseRepresentation
bin10100010001000…
…011001111000000
3212200210111112201
4110101003033000
51144020422031
653423402544
711266033336
oct2421031700
9780714481
10340014016
11164a24621
1295a53454
135559ab34
143322bb56
151ecb4d61
hex144433c0

340014016 has 56 divisors (see below), whose sum is σ = 698611760. Its totient is φ = 164063232.

The previous prime is 340014011. The next prime is 340014019. The reversal of 340014016 is 610410043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 340013984 and 340014002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340014011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328636 + ... + 329668.

It is an arithmetic number, because the mean of its divisors is an integer number (12475210).

Almost surely, 2340014016 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 340014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349305880).

340014016 is an abundant number, since it is smaller than the sum of its proper divisors (358597744).

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

340014016 is a wasteful number, since it uses less digits than its factorization.

340014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 340014016 is about 18439.4689728311. The cubic root of 340014016 is about 697.9627952573.

Adding to 340014016 its reverse (610410043), we get a palindrome (950424059).

The spelling of 340014016 in words is "three hundred forty million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 139 148 278 296 556 592 1033 1112 1184 2066 2224 2368 4132 4448 5143 8264 8896 10286 16528 20572 33056 38221 41144 66112 76442 82288 143587 152884 164576 287174 305768 329152 574348 611536 1148696 1223072 2297392 2446144 4594784 5312719 9189568 10625438 21250876 42501752 85003504 170007008 340014016