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3345971000 = 235323145477
BaseRepresentation
bin1100011101101111…
…0111011100111000
322122012000221022212
43013123313130320
523323032033000
61312003434252
7145626166331
oct30733673470
98565027285
103345971000
111467793599
12794685988
134142898c8
1423a545288
15148b33c35
hexc76f7738

3345971000 has 64 divisors (see below), whose sum is σ = 8170044480. Its totient is φ = 1280188800.

The previous prime is 3345970981. The next prime is 3345971021. The reversal of 3345971000 is 1795433.

It is a happy number.

It is a super-2 number, since 2×33459710002 = 22391043865682000000, which contains 22 as substring.

It is a congruent number.

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, 49739 + ... + 95738.

It is an arithmetic number, because the mean of its divisors is an integer number (127656945).

Almost surely, 23345971000 is an apocalyptic number.

It is an amenable number.

3345971000 is an abundant number, since it is smaller than the sum of its proper divisors (4824073480).

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

3345971000 is a wasteful number, since it uses less digits than its factorization.

3345971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145521 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 3345971000 is about 57844.3687838324. The cubic root of 3345971000 is about 1495.6870180846.

The spelling of 3345971000 in words is "three billion, three hundred forty-five million, nine hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 145477 290954 581908 727385 1163816 1454770 2909540 3345971 3636925 5819080 6691942 7273850 13383884 14547700 16729855 18184625 26767768 29095400 33459710 36369250 66919420 72738500 83649275 133838840 145477000 167298550 334597100 418246375 669194200 836492750 1672985500 3345971000