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234035040 = 2535617993
BaseRepresentation
bin11011111001100…
…01011101100000
3121022101012201110
431330301131200
5434403110130
635120103320
75541156621
oct1574613540
9538335643
10234035040
11110119a98
1266464b40
1339642a95
1423121a48
151582dab0
hexdf31760

234035040 has 96 divisors (see below), whose sum is σ = 749389536. Its totient is φ = 61378560.

The previous prime is 234035029. The next prime is 234035041. The reversal of 234035040 is 40530432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 234034998 and 234035016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234035041) 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, 25284 + ... + 33276.

It is an arithmetic number, because the mean of its divisors is an integer number (7806141).

Almost surely, 2234035040 is an apocalyptic number.

234035040 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 234035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374694768).

234035040 is an abundant number, since it is smaller than the sum of its proper divisors (515354496).

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

234035040 is a wasteful number, since it uses less digits than its factorization.

234035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 234035040 is about 15298.2038161348. The cubic root of 234035040 is about 616.2547717718.

Adding to 234035040 its reverse (40530432), we get a palindrome (274565472).

The spelling of 234035040 in words is "two hundred thirty-four million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 7993 9760 14640 15986 23979 29280 31972 39965 47958 63944 79930 95916 119895 127888 159860 191832 239790 255776 319720 383664 479580 487573 639440 767328 959160 975146 1278880 1462719 1918320 1950292 2437865 2925438 3836640 3900584 4875730 5850876 7313595 7801168 9751460 11701752 14627190 15602336 19502920 23403504 29254380 39005840 46807008 58508760 78011680 117017520 234035040