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334472160 = 25351163347
BaseRepresentation
bin10011111011111…
…010001111100000
3212022100221112210
4103323322033200
51141111102120
653104522120
711200652331
oct2373721740
9768327483
10334472160
11161889980
1294020340
13543aa529
14325c8288
151e56cce0
hex13efa3e0

334472160 has 96 divisors (see below), whose sum is σ = 1149386112. Its totient is φ = 81082880.

The previous prime is 334472081. The next prime is 334472207. The reversal of 334472160 is 61274433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3344721602 = 223743251630131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26394 + ... + 36953.

It is an arithmetic number, because the mean of its divisors is an integer number (11972772).

Almost surely, 2334472160 is an apocalyptic number.

334472160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334472160 is an abundant number, since it is smaller than the sum of its proper divisors (814913952).

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

334472160 is a wasteful number, since it uses less digits than its factorization.

334472160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63376 (or 63368 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 334472160 is about 18288.5800432948. The cubic root of 334472160 is about 694.1499951240.

The spelling of 334472160 in words is "three hundred thirty-four million, four hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 63347 126694 190041 253388 316735 380082 506776 633470 696817 760164 950205 1013552 1266940 1393634 1520328 1900410 2027104 2090451 2533880 2787268 3040656 3484085 3800820 4180902 5067760 5574536 6081312 6968170 7601640 8361804 10135520 10452255 11149072 13936340 15203280 16723608 20904510 22298144 27872680 30406560 33447216 41809020 55745360 66894432 83618040 111490720 167236080 334472160