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3345067000 = 235311417417
BaseRepresentation
bin1100011101100001…
…1010101111111000
322122010100000021101
43013120122233320
523322314121000
61311532221144
7145615412632
oct30730325770
98563300241
103345067000
111467226390
1279430a7b4
134140312b2
1423a38ba52
15148a05e6a
hexc761abf8

3345067000 has 128 divisors (see below), whose sum is σ = 8748492480. Its totient is φ = 1186560000.

The previous prime is 3345066979. The next prime is 3345067003. The reversal of 3345067000 is 7605433.

It is a super-2 number, since 2×33450670002 = 22378946468978000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3345067000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345067003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447292 + ... + 454708.

Almost surely, 23345067000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374246240).

3345067000 is an abundant number, since it is smaller than the sum of its proper divisors (5403425480).

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

3345067000 is a wasteful number, since it uses less digits than its factorization.

3345067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7490 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 3345067000 is about 57836.5541850481. The cubic root of 3345067000 is about 1495.5523065314.

The spelling of 3345067000 in words is "three billion, three hundred forty-five million, sixty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1100 1375 1640 1804 2050 2200 2255 2750 3608 4100 4510 5125 5500 7417 8200 9020 10250 11000 11275 14834 18040 20500 22550 29668 37085 41000 45100 56375 59336 74170 81587 90200 112750 148340 163174 185425 225500 296680 304097 326348 370850 407935 451000 608194 652696 741700 815870 927125 1216388 1483400 1520485 1631740 1854250 2039675 2432776 3040970 3263480 3345067 3708500 4079350 6081940 6690134 7417000 7602425 8158700 10198375 12163880 13380268 15204850 16317400 16725335 20396750 26760536 30409700 33450670 38012125 40793500 60819400 66901340 76024250 81587000 83626675 133802680 152048500 167253350 304097000 334506700 418133375 669013400 836266750 1672533500 3345067000