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354415230 = 233513372729
BaseRepresentation
bin10101000111111…
…111001001111110
3220200220011022000
4111013333021332
51211212241410
655100203130
711532323361
oct2507771176
9820804260
10354415230
11172070454
129a8394a6
1358570a70
14350da0d8
15211abdc0
hex151ff27e

354415230 has 128 divisors (see below), whose sum is σ = 1045699200. Its totient is φ = 84851712.

The previous prime is 354415213. The next prime is 354415231. The reversal of 354415230 is 32514453.

It is a super-2 number, since 2×3544152302 = 251220310511905800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 354415194 and 354415203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354415231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128506 + ... + 131234.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2354415230 is an apocalyptic number.

354415230 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 354415230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

354415230 is an abundant number, since it is smaller than the sum of its proper divisors (691283970).

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

354415230 is a wasteful number, since it uses less digits than its factorization.

354415230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 354415230 is about 18825.9191010691. The cubic root of 354415230 is about 707.6808745639.

Adding to 354415230 its reverse (32514453), we get a palindrome (386929683).

The spelling of 354415230 in words is "three hundred fifty-four million, four hundred fifteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 90 111 117 130 135 185 195 222 234 270 333 351 370 390 481 555 585 666 702 962 999 1110 1170 1443 1665 1755 1998 2405 2729 2886 3330 3510 4329 4810 4995 5458 7215 8187 8658 9990 12987 13645 14430 16374 21645 24561 25974 27290 35477 40935 43290 49122 64935 70954 73683 81870 100973 106431 122805 129870 147366 177385 201946 212862 245610 302919 319293 354770 368415 504865 532155 605838 638586 736830 908757 957879 1009730 1064310 1312649 1514595 1596465 1817514 1915758 2625298 2726271 3029190 3192930 3937947 4543785 4789395 5452542 6563245 7875894 9087570 9578790 11813841 13126490 13631355 19689735 23627682 27262710 35441523 39379470 59069205 70883046 118138410 177207615 354415230