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334023104040 = 23353189791157
BaseRepresentation
bin1001101110001010101…
…01000001011000101000
31011221011122101210100120
410313011111001120220
520433034403312130
6413240442203240
733063255352443
oct4670525013050
91157148353316
10334023104040
111197273749aa
125489b7b3520
1325662844632
14122499d665a
158a4e5c3910
hex4dc5541628

334023104040 has 64 divisors (see below), whose sum is σ = 1034394140160. Its totient is φ = 86199509760.

The previous prime is 334023104017. The next prime is 334023104053. The reversal of 334023104040 is 40401320433.

It is a super-2 number, since 2×3340231040402 (a number of 24 digits) 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 334023104040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44891859 + ... + 44899298.

It is an arithmetic number, because the mean of its divisors is an integer number (16162408440).

Almost surely, 2334023104040 is an apocalyptic number.

334023104040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334023104040 is an abundant number, since it is smaller than the sum of its proper divisors (700371036120).

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

334023104040 is a wasteful number, since it uses less digits than its factorization.

334023104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89791202 (or 89791198 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 334023104040 its reverse (40401320433), we get a palindrome (374424424473).

The spelling of 334023104040 in words is "three hundred thirty-four billion, twenty-three million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 89791157 179582314 269373471 359164628 448955785 538746942 718329256 897911570 1077493884 1346867355 1795823140 2154987768 2693734710 2783525867 3591646280 5387469420 5567051734 8350577601 10774938840 11134103468 13917629335 16701155202 22268206936 27835258670 33402310404 41752888005 55670517340 66804620808 83505776010 111341034680 167011552020 334023104040