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355103430 = 2351137127229
BaseRepresentation
bin10101001010100…
…111001011000110
3220202012010022220
4111022213023012
51211401302210
655123033210
711541220653
oct2512471306
9822163286
10355103430
111724a0510
129ab0b806
1358752096
1435238c2a
1521295c70
hex152a72c6

355103430 has 128 divisors (see below), whose sum is σ = 966574080. Its totient is φ = 82736640.

The previous prime is 355103363. The next prime is 355103431. The reversal of 355103430 is 34301553.

It is a happy number.

It is a super-3 number, since 3×3551034303 (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 355103430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355103431) 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, 1550556 + ... + 1550784.

It is an arithmetic number, because the mean of its divisors is an integer number (7551360).

Almost surely, 2355103430 is an apocalyptic number.

355103430 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 355103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483287040).

355103430 is an abundant number, since it is smaller than the sum of its proper divisors (611470650).

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

355103430 is a wasteful number, since it uses less digits than its factorization.

355103430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 355103430 is about 18844.1882287351. The cubic root of 355103430 is about 708.1386343159.

Adding to 355103430 its reverse (34301553), we get a palindrome (389404983).

The spelling of 355103430 in words is "three hundred fifty-five million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 127 165 185 222 229 254 330 370 381 407 458 555 635 687 762 814 1110 1145 1221 1270 1374 1397 1905 2035 2290 2442 2519 2794 3435 3810 4070 4191 4699 5038 6105 6870 6985 7557 8382 8473 9398 12210 12595 13970 14097 15114 16946 20955 23495 25190 25419 28194 29083 37785 41910 42365 46990 50838 51689 58166 70485 75570 84730 87249 93203 103378 127095 140970 145415 155067 174498 186406 254190 258445 279609 290830 310134 319913 436245 466015 516890 559218 639826 775335 872490 932030 959739 1076071 1398045 1550670 1599565 1919478 2152142 2796090 3199130 3228213 4798695 5380355 6456426 9597390 10760710 11836781 16141065 23673562 32282130 35510343 59183905 71020686 118367810 177551715 355103430