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234731904 = 2731161911
BaseRepresentation
bin11011111110110…
…11100110000000
3121100200121122020
431333123212000
5440042410104
635143041440
75550121401
oct1577334600
9540617566
10234731904
11110555610
1266740280
1339828024
14232639a8
151591a2d9
hexdfdb980

234731904 has 128 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 69888000.

The previous prime is 234731897. The next prime is 234731911. The reversal of 234731904 is 409137432.

234731904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234731897) and next prime (234731911).

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257209 + ... + 258119.

It is an arithmetic number, because the mean of its divisors is an integer number (5407020).

Almost surely, 2234731904 is an apocalyptic number.

234731904 is a gapful number since it is divisible by the number (24) 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 234731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

234731904 is an abundant number, since it is smaller than the sum of its proper divisors (457366656).

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

234731904 is a wasteful number, since it uses less digits than its factorization.

234731904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 234731904 is about 15320.9628940220. The cubic root of 234731904 is about 616.8658201985.

The spelling of 234731904 in words is "two hundred thirty-four million, seven hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 528 671 704 732 911 976 1056 1342 1408 1464 1822 1952 2013 2112 2684 2733 2928 3644 3904 4026 4224 5368 5466 5856 7288 7808 8052 10021 10736 10932 11712 14576 16104 20042 21472 21864 23424 29152 30063 32208 40084 42944 43728 55571 58304 60126 64416 80168 85888 87456 111142 116608 120252 128832 160336 166713 174912 222284 240504 257664 320672 333426 349824 444568 481008 611281 641344 666852 889136 962016 1222562 1282688 1333704 1778272 1833843 1924032 2445124 2667408 3556544 3667686 3848064 4890248 5334816 7113088 7335372 9780496 10669632 14670744 19560992 21339264 29341488 39121984 58682976 78243968 117365952 234731904