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234132140 = 2251141101257
BaseRepresentation
bin11011111010010…
…01001010101100
3121022120010220202
431331021022230
5434414212030
635122133032
75542042664
oct1575111254
9538503822
10234132140
11110185a40
12664b1178
1339678038
14231491a4
151584c745
hexdf492ac

234132140 has 96 divisors (see below), whose sum is σ = 557057088. Its totient is φ = 81920000.

The previous prime is 234132139. The next prime is 234132169. The reversal of 234132140 is 41231432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910892 + ... + 911148.

It is an arithmetic number, because the mean of its divisors is an integer number (5802678).

Almost surely, 2234132140 is an apocalyptic number.

234132140 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 234132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278528544).

234132140 is an abundant number, since it is smaller than the sum of its proper divisors (322924948).

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

234132140 is a wasteful number, since it uses less digits than its factorization.

234132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 234132140 is about 15301.3770622124. The cubic root of 234132140 is about 616.3399870237.

Adding to 234132140 its reverse (41231432), we get a palindrome (275363572).

The spelling of 234132140 in words is "two hundred thirty-four million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 101 110 164 202 205 220 257 404 410 451 505 514 820 902 1010 1028 1111 1285 1804 2020 2222 2255 2570 2827 4141 4444 4510 5140 5555 5654 8282 9020 10537 11110 11308 14135 16564 20705 21074 22220 25957 28270 41410 42148 45551 51914 52685 56540 82820 91102 103828 105370 115907 129785 182204 210740 227755 231814 259570 285527 455510 463628 519140 571054 579535 911020 1064237 1142108 1159070 1427635 2128474 2318140 2855270 4256948 5321185 5710540 10642370 11706607 21284740 23413214 46826428 58533035 117066070 234132140