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334397376 = 2633296673
BaseRepresentation
bin10011111011100…
…111111111000000
3212022020010222000
4103323213333000
51141101204001
653103144000
711200221315
oct2373477700
9768203860
10334397376
11161838775
1293ba5000
1354382491
14325a8d0c
151e555a86
hex13ee7fc0

334397376 has 112 divisors (see below), whose sum is σ = 1017117600. Its totient is φ = 107606016.

The previous prime is 334397351. The next prime is 334397377. The reversal of 334397376 is 673793433.

It is a super-2 number, since 2×3343973762 = 223643210151370752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334397377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46776 + ... + 53448.

Almost surely, 2334397376 is an apocalyptic number.

334397376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508558800).

334397376 is an abundant number, since it is smaller than the sum of its proper divisors (682720224).

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

334397376 is a wasteful number, since it uses less digits than its factorization.

334397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6707 counting only the distinct ones).

The product of its digits is 857304, while the sum is 45.

The square root of 334397376 is about 18286.5353744224. The cubic root of 334397376 is about 694.0982567047.

It can be divided in two parts, 33 and 4397376, that added together give a square (4397409 = 20972).

The spelling of 334397376 in words is "three hundred thirty-four million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 6673 8352 12528 13346 16704 20019 25056 26692 40038 50112 53384 60057 80076 106768 120114 160152 180171 193517 213536 240228 320304 360342 387034 427072 480456 580551 640608 720684 774068 960912 1161102 1281216 1441368 1548136 1741653 1921824 2322204 2882736 3096272 3483306 3843648 4644408 5224959 5765472 6192544 6966612 9288816 10449918 11530944 12385088 13933224 18577632 20899836 27866448 37155264 41799672 55732896 83599344 111465792 167198688 334397376