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334325040 = 24357228429
BaseRepresentation
bin10011111011010…
…110010100110000
3212022002110201220
4103323112110300
51141041400130
653101425040
711166500400
oct2373262460
9768073656
10334325040
11161799395
1293b6b180
135435858a
143258a800
151e53e410
hex13ed6530

334325040 has 120 divisors (see below), whose sum is σ = 1205659440. Its totient is φ = 76414464.

The previous prime is 334325039. The next prime is 334325041. The reversal of 334325040 is 40523433.

It is an interprime number because it is at equal distance from previous prime (334325039) and next prime (334325041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3343250402 = 223546464742003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334325040.

It is not an unprimeable number, because it can be changed into a prime (334325041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455 + ... + 25974.

It is an arithmetic number, because the mean of its divisors is an integer number (10047162).

Almost surely, 2334325040 is an apocalyptic number.

334325040 is a gapful number since it is divisible by the number (30) 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 334325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602829720).

334325040 is an abundant number, since it is smaller than the sum of its proper divisors (871334400).

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

334325040 is a wasteful number, since it uses less digits than its factorization.

334325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28459 (or 28446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 334325040 is about 18284.5574187619. The cubic root of 334325040 is about 694.0482045653.

Adding to 334325040 its reverse (40523433), we get a palindrome (374848473).

The spelling of 334325040 in words is "three hundred thirty-four million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 28429 56858 85287 113716 142145 170574 199003 227432 284290 341148 398006 426435 454864 568580 597009 682296 796012 852870 995015 1137160 1194018 1364592 1393021 1592024 1705740 1990030 2274320 2388036 2786042 2985045 3184048 3411480 3980060 4179063 4776072 5572084 5970090 6822960 6965105 7960120 8358126 9552144 11144168 11940180 13930210 15920240 16716252 20895315 22288336 23880360 27860420 33432504 41790630 47760720 55720840 66865008 83581260 111441680 167162520 334325040