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334013420 = 225135324239
BaseRepresentation
bin10011111010001…
…010001111101100
3212021111122021102
4103322022033230
51141001412140
653051022232
711164032026
oct2372121754
9767448242
10334013420
111615a6254
1293a3a978
13542797a0
1432509016
151e4cbe15
hex13e8a3ec

334013420 has 48 divisors (see below), whose sum is σ = 769668480. Its totient is φ = 120996096.

The previous prime is 334013417. The next prime is 334013431. The reversal of 334013420 is 24310433.

It is a super-2 number, since 2×3340134202 = 223129929480192800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 334013392 and 334013401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661 + ... + 25899.

It is an arithmetic number, because the mean of its divisors is an integer number (16034760).

Almost surely, 2334013420 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 334013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384834240).

334013420 is an abundant number, since it is smaller than the sum of its proper divisors (435655060).

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

334013420 is a wasteful number, since it uses less digits than its factorization.

334013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24314 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 334013420 is about 18276.0340336737. The cubic root of 334013420 is about 693.8324997795.

Adding to 334013420 its reverse (24310433), we get a palindrome (358323853).

It can be divided in two parts, 334013 and 420, that added together give a palindrome (334433).

The spelling of 334013420 in words is "three hundred thirty-four million, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 24239 48478 96956 121195 242390 315107 484780 630214 1260428 1284667 1575535 2569334 3151070 5138668 6302140 6423335 12846670 16700671 25693340 33401342 66802684 83503355 167006710 334013420