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343815990 = 235717193499
BaseRepresentation
bin10100011111100…
…011011100110110
3212221221122212120
4110133203130312
51201004102430
654041100410
711343246660
oct2437433466
9787848776
10343815990
11167091051
1297187706
13562cc51b
143393b530
15202b6610
hex147e3736

343815990 has 128 divisors (see below), whose sum is σ = 1005696000. Its totient is φ = 73433088.

The previous prime is 343815961. The next prime is 343816021. The reversal of 343815990 is 99518343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688761 + ... + 689259.

It is an arithmetic number, because the mean of its divisors is an integer number (7857000).

Almost surely, 2343815990 is an apocalyptic number.

343815990 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 343815990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502848000).

343815990 is an abundant number, since it is smaller than the sum of its proper divisors (661880010).

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

343815990 is a wasteful number, since it uses less digits than its factorization.

343815990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 343815990 is about 18542.2757502956. The cubic root of 343815990 is about 700.5546556322.

The spelling of 343815990 in words is "three hundred forty-three million, eight hundred fifteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 193 210 238 255 357 386 499 510 579 595 714 965 998 1158 1190 1351 1497 1785 1930 2495 2702 2895 2994 3281 3493 3570 4053 4990 5790 6562 6755 6986 7485 8106 8483 9843 10479 13510 14970 16405 16966 17465 19686 20265 20958 22967 25449 32810 34930 40530 42415 45934 49215 50898 52395 59381 68901 84830 96307 98430 104790 114835 118762 127245 137802 178143 192614 229670 254490 288921 296905 344505 356286 481535 577842 593810 674149 689010 890715 963070 1348298 1444605 1637219 1781430 2022447 2889210 3274438 3370745 4044894 4911657 6741490 8186095 9823314 10112235 11460533 16372190 20224470 22921066 24558285 34381599 49116570 57302665 68763198 114605330 171907995 343815990