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354014430 = 235711331463
BaseRepresentation
bin10101000110011…
…101010011011110
3220200010210111120
4111012131103132
51211111430210
655043431410
711526034020
oct2506352336
9820123446
10354014430
11171917310
129a685566
13584604c3
1435034010
152112d270
hex1519d4de

354014430 has 128 divisors (see below), whose sum is σ = 1064779776. Its totient is φ = 73180800.

The previous prime is 354014383. The next prime is 354014431. The reversal of 354014430 is 34410453.

It is a super-3 number, since 3×3540144303 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354014430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354014431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764379 + ... + 764841.

It is an arithmetic number, because the mean of its divisors is an integer number (8318592).

Almost surely, 2354014430 is an apocalyptic number.

354014430 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 354014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532389888).

354014430 is an abundant number, since it is smaller than the sum of its proper divisors (710765346).

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

354014430 is a wasteful number, since it uses less digits than its factorization.

354014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 354014430 is about 18815.2711912425. The cubic root of 354014430 is about 707.4140072871.

Adding to 354014430 its reverse (34410453), we get a palindrome (388424883).

The spelling of 354014430 in words is "three hundred fifty-four million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 331 385 462 463 662 770 926 993 1155 1389 1655 1986 2310 2315 2317 2778 3241 3310 3641 4630 4634 4965 5093 6482 6945 6951 7282 9723 9930 10186 10923 11585 13890 13902 15279 16205 18205 19446 21846 23170 25465 25487 30558 32410 34755 35651 36410 48615 50930 50974 54615 69510 71302 76395 76461 97230 106953 109230 127435 152790 152922 153253 178255 213906 254870 306506 356510 382305 459759 534765 764610 766265 919518 1069530 1072771 1532530 1685783 2145542 2298795 3218313 3371566 4597590 5057349 5363855 6436626 8428915 10114698 10727710 11800481 16091565 16857830 23600962 25286745 32183130 35401443 50573490 59002405 70802886 118004810 177007215 354014430