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334034640 = 24325479871
BaseRepresentation
bin10011111010001…
…111011011010000
3212021112201101100
4103322033123100
51141003102030
653051304400
711164150632
oct2372173320
9767481340
10334034640
11161610195
1293a4b100
1354286344
1432512a52
151e4d3360
hex13e8f6d0

334034640 has 120 divisors (see below), whose sum is σ = 1145783808. Its totient is φ = 87171840.

The previous prime is 334034627. The next prime is 334034647. The reversal of 334034640 is 46430433.

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

It is a super-2 number, since 2×3340346402 = 223158281439859200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334034647) 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, 28905 + ... + 38775.

Almost surely, 2334034640 is an apocalyptic number.

334034640 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 334034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572891904).

334034640 is an abundant number, since it is smaller than the sum of its proper divisors (811749168).

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

334034640 is a wasteful number, since it uses less digits than its factorization.

334034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 334034640 is about 18276.6145661608. The cubic root of 334034640 is about 693.8471926162.

The spelling of 334034640 in words is "three hundred thirty-four million, thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 9871 11280 16920 19742 29613 33840 39484 49355 59226 78968 88839 98710 118452 148065 157936 177678 197420 236904 296130 355356 394840 444195 463937 473808 592260 710712 789680 888390 927874 1184520 1391811 1421424 1776780 1855748 2319685 2369040 2783622 3553560 3711496 4175433 4639370 5567244 6959055 7107120 7422992 8350866 9278740 11134488 13918110 16701732 18557480 20877165 22268976 27836220 33403464 37114960 41754330 55672440 66806928 83508660 111344880 167017320 334034640