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354680370 = 2365114423
BaseRepresentation
bin10101001000111…
…111111000110010
3220201101122000000
4111020333320302
51211244232440
655110010430
711534506362
oct2510777062
9821348000
10354680370
11172231680
129a946a16
1358634655
14351689a2
1521210730
hex1523fe32

354680370 has 112 divisors (see below), whose sum is σ = 1044453312. Its totient is φ = 85963680.

The previous prime is 354680369. The next prime is 354680407. The reversal of 354680370 is 73086453.

It is a happy number.

354680370 is a `hidden beast` number, since 3 + 546 + 80 + 37 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 77979 + ... + 82401.

It is an arithmetic number, because the mean of its divisors is an integer number (9325476).

Almost surely, 2354680370 is an apocalyptic number.

354680370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354680370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522226656).

354680370 is an abundant number, since it is smaller than the sum of its proper divisors (689772942).

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

354680370 is a wasteful number, since it uses less digits than its factorization.

354680370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 354680370 is about 18832.9596718094. The cubic root of 354680370 is about 707.8573039048.

The spelling of 354680370 in words is "three hundred fifty-four million, six hundred eighty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2430 2673 2970 3645 4423 4455 5346 7290 8019 8846 8910 13269 13365 16038 22115 26538 26730 39807 40095 44230 48653 66345 79614 80190 97306 119421 132690 145959 199035 238842 243265 291918 358263 398070 437877 486530 597105 716526 729795 875754 1074789 1194210 1313631 1459590 1791315 2149578 2189385 2627262 3224367 3582630 3940893 4378770 5373945 6448734 6568155 7881786 10747890 11822679 13136310 16121835 19704465 23645358 32243670 35468037 39408930 59113395 70936074 118226790 177340185 354680370