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193434120 = 233251148847
BaseRepresentation
bin10111000011110…
…01001000001000
3111110222110201200
423201321020020
5344004342440
631105544200
74536106605
oct1341711010
9443873650
10193434120
119a208a10
1254945060
13310c8879
141b9936ac
1511eadc30
hexb879208

193434120 has 96 divisors (see below), whose sum is σ = 685825920. Its totient is φ = 46892160.

The previous prime is 193434097. The next prime is 193434121. The reversal of 193434120 is 21434391.

It is not an unprimeable number, because it can be changed into a prime (193434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20464 + ... + 28383.

It is an arithmetic number, because the mean of its divisors is an integer number (7144020).

Almost surely, 2193434120 is an apocalyptic number.

193434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193434120 is an abundant number, since it is smaller than the sum of its proper divisors (492391800).

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

193434120 is a wasteful number, since it uses less digits than its factorization.

193434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48875 (or 48868 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 193434120 is about 13908.0595339537. The cubic root of 193434120 is about 578.3326270361.

The spelling of 193434120 in words is "one hundred ninety-three million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 48847 97694 146541 195388 244235 293082 390776 439623 488470 537317 586164 732705 879246 976940 1074634 1172328 1465410 1611951 1758492 1953880 2149268 2198115 2686585 2930820 3223902 3516984 4298536 4396230 4835853 5373170 5861640 6447804 8059755 8792460 9671706 10746340 12895608 16119510 17584920 19343412 21492680 24179265 32239020 38686824 48358530 64478040 96717060 193434120