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334033670004 = 223172621624731
BaseRepresentation
bin1001101110001011111…
…01010100111101110100
31011221012101021121010120
410313011331110331310
520433100104420004
6413241500451540
733063444230136
oct4670575247564
91157171247116
10334033670004
11119732331301
12548a3249bb0
1325664aa3998
141224b187056
158a504ae3d9
hex4dc5f54f74

334033670004 has 48 divisors (see below), whose sum is σ = 825575841216. Its totient is φ = 104754726400.

The previous prime is 334033669973. The next prime is 334033670053. The reversal of 334033670004 is 400076330433.

It is a super-2 number, since 2×3340336700042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222319 + ... + 847049.

It is an arithmetic number, because the mean of its divisors is an integer number (17199496692).

Almost surely, 2334033670004 is an apocalyptic number.

334033670004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

334033670004 is an abundant number, since it is smaller than the sum of its proper divisors (491542171212).

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

334033670004 is a wasteful number, since it uses less digits than its factorization.

334033670004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627376 (or 627374 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 33.

The spelling of 334033670004 in words is "three hundred thirty-four billion, thirty-three million, six hundred seventy thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2621 5242 7863 10484 15726 31452 44557 89114 133671 178228 267342 534684 624731 1249462 1874193 2498924 3748386 7496772 10620427 21240854 31861281 42481708 63722562 127445124 1637419951 3274839902 4912259853 6549679804 9824519706 19649039412 27836139167 55672278334 83508417501 111344556668 167016835002 334033670004