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3407374440 = 2332512774527
BaseRepresentation
bin1100101100011000…
…0110100001101000
322210110120120000100
43023012012201220
523434241440230
61322035505400
7150303130161
oct31306064150
98713516010
103407374440
111499412938
127b1158260
13423c085c2
1424476a768
1514e212660
hexcb186868

3407374440 has 96 divisors (see below), whose sum is σ = 11161313280. Its totient is φ = 901466496.

The previous prime is 3407374423. The next prime is 3407374457. The reversal of 3407374440 is 444737043.

It is an interprime number because it is at equal distance from previous prime (3407374423) and next prime (3407374457).

It is a super-2 number, since 2×34073744402 = 23220401148730627200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3407374395 and 3407374404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8457 + ... + 82983.

It is an arithmetic number, because the mean of its divisors is an integer number (116263680).

Almost surely, 23407374440 is an apocalyptic number.

3407374440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580656640).

3407374440 is an abundant number, since it is smaller than the sum of its proper divisors (7753938840).

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

3407374440 is a wasteful number, since it uses less digits than its factorization.

3407374440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74671 (or 74664 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 3407374440 is about 58372.7199983006. The cubic root of 3407374440 is about 1504.7809587657.

The spelling of 3407374440 in words is "three billion, four hundred seven million, three hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5715 7620 9144 11430 15240 22860 45720 74527 149054 223581 298108 372635 447162 596216 670743 745270 894324 1117905 1341486 1490540 1788648 2235810 2682972 2981080 3353715 4471620 5365944 6707430 8943240 9464929 13414860 18929858 26829720 28394787 37859716 47324645 56789574 75719432 85184361 94649290 113579148 141973935 170368722 189298580 227158296 283947870 340737444 378597160 425921805 567895740 681474888 851843610 1135791480 1703687220 3407374440