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334319424 = 2632997619
BaseRepresentation
bin10011111011010…
…100111101000000
3212022002012000220
4103323110331000
51141041210144
653101343040
711166445125
oct2373247500
9768065026
10334319424
1116179514a
1293b67a80
1354355b5a
143258874c
151e53c919
hex13ed4f40

334319424 has 112 divisors (see below), whose sum is σ = 925982400. Its totient is φ = 106315776.

The previous prime is 334319423. The next prime is 334319431. The reversal of 334319424 is 424913433.

It is a super-2 number, since 2×3343194242 = 223538954527383552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334319423) 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, 539787 + ... + 540405.

It is an arithmetic number, because the mean of its divisors is an integer number (8267700).

Almost surely, 2334319424 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 334319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462991200).

334319424 is an abundant number, since it is smaller than the sum of its proper divisors (591662976).

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

334319424 is a wasteful number, since it uses less digits than its factorization.

334319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 334319424 is about 18284.4038459010. The cubic root of 334319424 is about 694.0443183307.

The spelling of 334319424 in words is "three hundred thirty-four million, three hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 174 192 194 232 291 348 388 464 582 619 696 776 928 1164 1238 1392 1552 1856 1857 2328 2476 2784 2813 3104 3714 4656 4952 5568 5626 6208 7428 8439 9312 9904 11252 14856 16878 17951 18624 19808 22504 29712 33756 35902 39616 45008 53853 59424 60043 67512 71804 90016 107706 118848 120086 135024 143608 180032 180129 215412 240172 270048 287216 360258 430824 480344 540096 574432 720516 861648 960688 1148864 1441032 1723296 1741247 1921376 2882064 3446592 3482494 3842752 5223741 5764128 6964988 10447482 11528256 13929976 20894964 27859952 41789928 55719904 83579856 111439808 167159712 334319424