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3005535414 = 237477320857
BaseRepresentation
bin1011001100100100…
…1101010010110110
321202110110000111110
42303021031102312
522123404113124
61214123015450
7134323425630
oct26311152266
97673400443
103005535414
111302601272
126ba66a586
1338b8a1c2b
14207247a50
15128cd9029
hexb324d4b6

3005535414 has 64 divisors (see below), whose sum is σ = 7112411136. Its totient is φ = 828900864.

The previous prime is 3005535389. The next prime is 3005535427. The reversal of 3005535414 is 4145355003.

3005535414 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133674 + ... + 154530.

It is an arithmetic number, because the mean of its divisors is an integer number (111131424).

Almost surely, 23005535414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005535414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556205568).

3005535414 is an abundant number, since it is smaller than the sum of its proper divisors (4106875722).

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

3005535414 is a wasteful number, since it uses less digits than its factorization.

3005535414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20989.

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 3005535414 is about 54822.7636479592. The cubic root of 3005535414 is about 1443.1360751187.

The spelling of 3005535414 in words is "three billion, five million, five hundred thirty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 73 94 141 146 219 282 329 438 511 658 987 1022 1533 1974 3066 3431 6862 10293 20586 20857 24017 41714 48034 62571 72051 125142 144102 145999 291998 437997 875994 980279 1522561 1960558 2940837 3045122 4567683 5881674 6861953 9135366 10657927 13723906 20585859 21315854 31973781 41171718 63947562 71560367 143120734 214681101 429362202 500922569 1001845138 1502767707 3005535414