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3405743316 = 2232831139807
BaseRepresentation
bin1100101011111111…
…1000010011010100
322210100111200112100
43022333320103110
523433332241231
61321540522100
7150253224543
oct31277702324
98710450470
103405743316
1114984a93a8
127b06b0330
13423787041
1424446415a
1514dede1e6
hexcaff84d4

3405743316 has 36 divisors (see below), whose sum is σ = 8712692352. Its totient is φ = 1121569104.

The previous prime is 3405743309. The next prime is 3405743333. The reversal of 3405743316 is 6133475043.

3405743316 is a `hidden beast` number, since 3 + 40 + 574 + 33 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566916 + ... + 572891.

It is an arithmetic number, because the mean of its divisors is an integer number (242019232).

Almost surely, 23405743316 is an apocalyptic number.

3405743316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3405743316 is an abundant number, since it is smaller than the sum of its proper divisors (5306949036).

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

3405743316 is a wasteful number, since it uses less digits than its factorization.

3405743316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139900 (or 1139895 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3405743316 is about 58358.7466966178. The cubic root of 3405743316 is about 1504.5408055196.

The spelling of 3405743316 in words is "three billion, four hundred five million, seven hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 1139807 2279614 3419421 4559228 6838842 10258263 13677684 20516526 41033052 94603981 189207962 283811943 378415924 567623886 851435829 1135247772 1702871658 3405743316