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3412454040 = 2332526833533
BaseRepresentation
bin1100101101100101…
…1110101010011000
322210211010121220200
43023121132222120
523442042012130
61322340422200
7150364244412
oct31331365230
98724117820
103412454040
1114a1272256
127b29a7960
13424c96698
142452cd9b2
1514e8b7760
hexcb65ea98

3412454040 has 96 divisors (see below), whose sum is σ = 11097749520. Its totient is φ = 909391104.

The previous prime is 3412454039. The next prime is 3412454051. The reversal of 3412454040 is 404542143.

It is a happy number.

3412454040 is a `hidden beast` number, since 341 + 245 + 40 + 40 = 666.

It is a super-2 number, since 2×34124540402 = 23289685150224643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3412453995 and 3412454013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964114 + ... + 967646.

Almost surely, 23412454040 is an apocalyptic number.

3412454040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412454040 is an abundant number, since it is smaller than the sum of its proper divisors (7685295480).

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

3412454040 is a wasteful number, since it uses less digits than its factorization.

3412454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3412454040 is about 58416.2138451304. The cubic root of 3412454040 is about 1505.5283465583.

Adding to 3412454040 its reverse (404542143), we get a palindrome (3816996183).

The spelling of 3412454040 in words is "three billion, four hundred twelve million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2683 3533 5366 7066 8049 10599 10732 13415 14132 16098 17665 21198 21464 24147 26830 28264 31797 32196 35330 40245 42396 48294 52995 53660 63594 64392 70660 80490 84792 96588 105990 107320 120735 127188 141320 158985 160980 193176 211980 241470 254376 317970 321960 423960 482940 635940 965880 1271880 9479039 18958078 28437117 37916156 47395195 56874234 75832312 85311351 94790390 113748468 142185585 170622702 189580780 227496936 284371170 341245404 379161560 426556755 568742340 682490808 853113510 1137484680 1706227020 3412454040