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234469120 = 2851931311
BaseRepresentation
bin11011111100110…
…11011100000000
3121100012021011111
431332123130000
5440011002440
635133253104
75544645304
oct1576333400
9540167144
10234469120
11110396136
1266634194
1339765532
14231d5d04
15158b74ea
hexdf9b700

234469120 has 144 divisors (see below), whose sum is σ = 612218880. Its totient is φ = 85708800.

The previous prime is 234469007. The next prime is 234469121. The reversal of 234469120 is 21964432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234469121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753765 + ... + 754075.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2234469120 is an apocalyptic number.

234469120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306109440).

234469120 is an abundant number, since it is smaller than the sum of its proper divisors (377749760).

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

234469120 is a wasteful number, since it uses less digits than its factorization.

234469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 234469120 is about 15312.3845301769. The cubic root of 234469120 is about 616.6355390505.

The spelling of 234469120 in words is "two hundred thirty-four million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 256 304 310 311 320 380 496 589 608 620 622 640 760 992 1178 1216 1240 1244 1280 1520 1555 1984 2356 2432 2480 2488 2945 3040 3110 3968 4712 4864 4960 4976 5890 5909 6080 6220 7936 9424 9641 9920 9952 11780 11818 12160 12440 18848 19282 19840 19904 23560 23636 24320 24880 29545 37696 38564 39680 39808 47120 47272 48205 49760 59090 75392 77128 79616 94240 94544 96410 99520 118180 150784 154256 183179 188480 189088 192820 199040 236360 308512 366358 376960 378176 385640 398080 472720 617024 732716 753920 756352 771280 915895 945440 1234048 1465432 1512704 1542560 1831790 1890880 2468096 2930864 3085120 3663580 3781760 5861728 6170240 7327160 7563520 11723456 12340480 14654320 23446912 29308640 46893824 58617280 117234560 234469120