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3434292008 = 237243732791
BaseRepresentation
bin1100110010110011…
…0010001100101000
322212100020002222022
43030230302030220
524013134321013
61324440444012
7151051000100
oct31454621450
98770202868
103434292008
111502628464
127ba179608
13429671564
14248176200
1515177d008
hexccb32328

3434292008 has 96 divisors (see below), whose sum is σ = 7772592960. Its totient is φ = 1417409280.

The previous prime is 3434291999. The next prime is 3434292049. The reversal of 3434292008 is 8002924343.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229093 + ... + 1231883.

It is an arithmetic number, because the mean of its divisors is an integer number (80964510).

Almost surely, 23434292008 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 3434292008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886296480).

3434292008 is an abundant number, since it is smaller than the sum of its proper divisors (4338300952).

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

3434292008 is a wasteful number, since it uses less digits than its factorization.

3434292008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 3434292008 is about 58602.8327642956. The cubic root of 3434292008 is about 1508.7330583079.

The spelling of 3434292008 in words is "three billion, four hundred thirty-four million, two hundred ninety-two thousand, eight".

Divisors: 1 2 4 7 8 14 28 43 49 56 73 86 98 146 172 196 292 301 344 392 511 584 602 1022 1204 2044 2107 2408 2791 3139 3577 4088 4214 5582 6278 7154 8428 11164 12556 14308 16856 19537 21973 22328 25112 28616 39074 43946 78148 87892 120013 136759 153811 156296 175784 203743 240026 273518 307622 407486 480052 547036 615244 814972 840091 960104 1094072 1230488 1426201 1629944 1680182 2852402 3360364 5704804 5880637 6720728 8760949 9983407 11409608 11761274 17521898 19966814 23522548 35043796 39933628 47045096 61326643 70087592 79867256 122653286 245306572 429286501 490613144 858573002 1717146004 3434292008