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340055430 = 2351113312557
BaseRepresentation
bin10100010001001…
…101010110000110
3212200212121100120
4110101031112012
51144023233210
653424322410
711266265151
oct2421152606
9780777316
10340055430
11164a52750
1295a73406
13555b3940
143323cc98
151ecc2270
hex1444d586

340055430 has 128 divisors (see below), whose sum is σ = 990130176. Its totient is φ = 73612800.

The previous prime is 340055413. The next prime is 340055431. The reversal of 340055430 is 34550043.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 340055430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340055431) 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, 131712 + ... + 134268.

It is an arithmetic number, because the mean of its divisors is an integer number (7735392).

Almost surely, 2340055430 is an apocalyptic number.

340055430 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 340055430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495065088).

340055430 is an abundant number, since it is smaller than the sum of its proper divisors (650074746).

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

340055430 is a wasteful number, since it uses less digits than its factorization.

340055430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 340055430 is about 18440.5919102398. The cubic root of 340055430 is about 697.9911315967.

The spelling of 340055430 in words is "three hundred forty million, fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 31 33 39 55 62 65 66 78 93 110 130 143 155 165 186 195 286 310 330 341 390 403 429 465 682 715 806 858 930 1023 1209 1430 1705 2015 2046 2145 2418 2557 3410 4030 4290 4433 5114 5115 6045 7671 8866 10230 12090 12785 13299 15342 22165 25570 26598 28127 33241 38355 44330 56254 66482 66495 76710 79267 84381 99723 132990 140635 158534 166205 168762 199446 237801 281270 332410 365651 396335 421905 475602 498615 731302 792670 843810 871937 997230 1030471 1096953 1189005 1743874 1828255 2060942 2193906 2378010 2615811 3091413 3656510 4359685 5152355 5231622 5484765 6182826 8719370 10304710 10969530 11335181 13079055 15457065 22670362 26158110 30914130 34005543 56675905 68011086 113351810 170027715 340055430