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334013430 = 23537614933
BaseRepresentation
bin10011111010001…
…010001111110110
3212021111122021210
4103322022033312
51141001412210
653051022250
711164032042
oct2372121766
9767448253
10334013430
111615a6263
1293a3a986
13542797aa
1432509022
151e4cbe20
hex13e8a3f6

334013430 has 64 divisors (see below), whose sum is σ = 836964288. Its totient is φ = 85224960.

The previous prime is 334013417. The next prime is 334013431. The reversal of 334013430 is 34310433.

It is a super-2 number, since 2×3340134302 = 223129942840729800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334013397 and 334013406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334013431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65244 + ... + 70176.

It is an arithmetic number, because the mean of its divisors is an integer number (13077567).

Almost surely, 2334013430 is an apocalyptic number.

334013430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418482144).

334013430 is an abundant number, since it is smaller than the sum of its proper divisors (502950858).

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

334013430 is a wasteful number, since it uses less digits than its factorization.

334013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 334013430 is about 18276.0343072560. The cubic root of 334013430 is about 693.8325067037.

Adding to 334013430 its reverse (34310433), we get a palindrome (368323863).

The spelling of 334013430 in words is "three hundred thirty-four million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 915 1110 1830 2257 4514 4933 6771 9866 11285 13542 14799 22570 24665 29598 33855 49330 67710 73995 147990 182521 300913 365042 547563 601826 902739 912605 1095126 1504565 1805478 1825210 2737815 3009130 4513695 5475630 9027390 11133781 22267562 33401343 55668905 66802686 111337810 167006715 334013430