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234129120 = 2535487769
BaseRepresentation
bin11011111010010…
…00011011100000
3121022112222202220
431331020123200
5434414112440
635122111040
75542031121
oct1575103340
9538488686
10234129120
11110183745
12664ab480
1339676854
1423148048
151584b8d0
hexdf486e0

234129120 has 48 divisors (see below), whose sum is σ = 737508240. Its totient is φ = 62434304.

The previous prime is 234129101. The next prime is 234129131. The reversal of 234129120 is 21921432.

234129120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243405 + ... + 244364.

It is an arithmetic number, because the mean of its divisors is an integer number (15364755).

Almost surely, 2234129120 is an apocalyptic number.

234129120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234129120 is an abundant number, since it is smaller than the sum of its proper divisors (503379120).

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

234129120 is a wasteful number, since it uses less digits than its factorization.

234129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487787 (or 487779 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 234129120 is about 15301.2783779657. The cubic root of 234129120 is about 616.3373370177.

The spelling of 234129120 in words is "two hundred thirty-four million, one hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 487769 975538 1463307 1951076 2438845 2926614 3902152 4877690 5853228 7316535 7804304 9755380 11706456 14633070 15608608 19510760 23412912 29266140 39021520 46825824 58532280 78043040 117064560 234129120