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343874368 = 26171132797
BaseRepresentation
bin10100011111110…
…001101101000000
3212222001121221201
4110133301231000
51201012434433
654042230544
711343612115
oct2437615500
9788047851
10343874368
111671209a2
12971b5454
135631cc76
143395490c
15202c8a7d
hex147f1b40

343874368 has 56 divisors (see below), whose sum is σ = 729169992. Its totient is φ = 160333824.

The previous prime is 343874359. The next prime is 343874381. The reversal of 343874368 is 863478343.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 305830144 = 6168^2 + 17488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121546 + ... + 124342.

Almost surely, 2343874368 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 343874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364584996).

343874368 is an abundant number, since it is smaller than the sum of its proper divisors (385295624).

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

343874368 is a wasteful number, since it uses less digits than its factorization.

343874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2929 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The square root of 343874368 is about 18543.8498699704. The cubic root of 343874368 is about 700.5943034539.

The spelling of 343874368 in words is "three hundred forty-three million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 136 226 272 452 544 904 1088 1808 1921 2797 3616 3842 5594 7232 7684 11188 15368 22376 30736 44752 47549 61472 89504 95098 122944 179008 190196 316061 380392 632122 760784 1264244 1521568 2528488 3043136 5056976 5373037 10113952 10746074 20227904 21492148 42984296 85968592 171937184 343874368