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4070430 = 2325721371
BaseRepresentation
bin1111100001110000011110
321122210120200
433201300132
52020223210
6223124330
746412100
oct17416036
97583520
104070430
1123301a1
1214436a6
13ac6950
1477d570
155560c0
hex3e1c1e

4070430 has 144 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 846720.

The previous prime is 4070399. The next prime is 4070431. The reversal of 4070430 is 340704.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57295 + ... + 57365.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 24070430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4070430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

4070430 is an abundant number, since it is smaller than the sum of its proper divisors (9374274).

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

4070430 is a wasteful number, since it uses less digits than its factorization.

4070430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4070430 is about 2017.5306689119. The cubic root of 4070430 is about 159.6663620610. Note that the first 3 decimals are identical.

The spelling of 4070430 in words is "four million, seventy thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 71 78 90 91 98 105 117 126 130 142 147 182 195 210 213 234 245 273 294 315 355 390 426 441 455 490 497 546 585 630 637 639 710 735 819 882 910 923 994 1065 1170 1274 1278 1365 1470 1491 1638 1846 1911 2130 2205 2485 2730 2769 2982 3185 3195 3479 3822 4095 4410 4473 4615 4970 5538 5733 6370 6390 6461 6958 7455 8190 8307 8946 9230 9555 10437 11466 12922 13845 14910 16614 17395 19110 19383 20874 22365 27690 28665 31311 32305 34790 38766 41535 44730 45227 52185 57330 58149 62622 64610 83070 90454 96915 104370 116298 135681 156555 193830 226135 271362 290745 313110 407043 452270 581490 678405 814086 1356810 2035215 4070430