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234949120 = 295721873
BaseRepresentation
bin11100000000100…
…00101000000000
3121101002122121021
432000100220000
5440121332440
635151435224
75552014600
oct1600205000
9541078537
10234949120
1111069382a
1266825b14
13398a2b63
14232bcc00
151595e84a
hexe010a00

234949120 has 120 divisors (see below), whose sum is σ = 655648884. Its totient is φ = 80510976.

The previous prime is 234949103. The next prime is 234949123. The reversal of 234949120 is 21949432.

It can be written as a sum of positive squares in 2 ways, for example, as 202322176 + 32626944 = 14224^2 + 5712^2 .

It is not an unprimeable number, because it can be changed into a prime (234949123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124504 + ... + 126376.

Almost surely, 2234949120 is an apocalyptic number.

234949120 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 234949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327824442).

234949120 is an abundant number, since it is smaller than the sum of its proper divisors (420699764).

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

234949120 is an equidigital number, since it uses as much as digits as its factorization.

234949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 234949120 is about 15328.0501043022. The cubic root of 234949120 is about 617.0560397830.

The spelling of 234949120 in words is "two hundred thirty-four million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1873 1960 2240 2560 3136 3584 3746 3920 4480 6272 7492 7840 8960 9365 12544 13111 14984 15680 17920 18730 25088 26222 29968 31360 37460 52444 59936 62720 65555 74920 91777 104888 119872 125440 131110 149840 183554 209776 239744 262220 299680 367108 419552 458885 479488 524440 599360 734216 839104 917770 958976 1048880 1198720 1468432 1678208 1835540 2097760 2397440 2936864 3356416 3671080 4195520 4794880 5873728 6712832 7342160 8391040 11747456 14684320 16782080 23494912 29368640 33564160 46989824 58737280 117474560 234949120