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234474880 = 2751723937
BaseRepresentation
bin11011111100111…
…00110110000000
3121100012120001211
431332130312000
5440011144010
635133335504
75545001143
oct1576346600
9540176054
10234474880
1111039a4a2
1266637594
1339768043
14231d805a
15158b908a
hexdf9cd80

234474880 has 128 divisors (see below), whose sum is σ = 619980480. Its totient is φ = 84344832.

The previous prime is 234474853. The next prime is 234474881. The reversal of 234474880 is 88474432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234474881) 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, 249772 + ... + 250708.

Almost surely, 2234474880 is an apocalyptic number.

234474880 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 234474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309990240).

234474880 is an abundant number, since it is smaller than the sum of its proper divisors (385505600).

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

234474880 is a wasteful number, since it uses less digits than its factorization.

234474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 234474880 is about 15312.5726120727. The cubic root of 234474880 is about 616.6405884597.

The spelling of 234474880 in words is "two hundred thirty-four million, four hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 128 136 160 170 184 230 272 320 340 368 391 460 544 640 680 736 782 920 937 1088 1360 1472 1564 1840 1874 1955 2176 2720 2944 3128 3680 3748 3910 4685 5440 6256 7360 7496 7820 9370 10880 12512 14720 14992 15640 15929 18740 21551 25024 29984 31280 31858 37480 43102 50048 59968 62560 63716 74960 79645 86204 107755 119936 125120 127432 149920 159290 172408 215510 250240 254864 299840 318580 344816 366367 431020 509728 599680 637160 689632 732734 862040 1019456 1274320 1379264 1465468 1724080 1831835 2038912 2548640 2758528 2930936 3448160 3663670 5097280 5861872 6896320 7327340 10194560 11723744 13792640 14654680 23447488 29309360 46894976 58618720 117237440 234474880