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334880832 = 263111312197
BaseRepresentation
bin10011111101011…
…110000001000000
3212100010201010210
4103331132001000
51141212141312
653121354120
711204303646
oct2375360100
9770121123
10334880832
11162038a20
1294198940
13544c1550
1432693196
151e5ede3c
hex13f5e040

334880832 has 112 divisors (see below), whose sum is σ = 1041026112. Its totient is φ = 93665280.

The previous prime is 334880797. The next prime is 334880929. The reversal of 334880832 is 238088433.

It is a happy number.

It is a super-2 number, since 2×3348808322 = 224290343282024448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21358 + ... + 33554.

It is an arithmetic number, because the mean of its divisors is an integer number (9294876).

Almost surely, 2334880832 is an apocalyptic number.

334880832 is a gapful number since it is divisible by the number (32) 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 334880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520513056).

334880832 is an abundant number, since it is smaller than the sum of its proper divisors (706145280).

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

334880832 is a wasteful number, since it uses less digits than its factorization.

334880832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 334880832 is about 18299.7495064823. The cubic root of 334880832 is about 694.4325938391.

The spelling of 334880832 in words is "three hundred thirty-four million, eight hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 12197 13728 24394 27456 36591 48788 73182 97576 134167 146364 158561 195152 268334 292728 317122 390304 402501 475683 536668 585456 634244 780608 805002 951366 1073336 1170912 1268488 1610004 1744171 1902732 2146672 2341824 2536976 3220008 3488342 3805464 4293344 5073952 5232513 6440016 6976684 7610928 8586688 10147904 10465026 12880032 13953368 15221856 20930052 25760064 27906736 30443712 41860104 55813472 83720208 111626944 167440416 334880832