Search a number
-
+
1234034120 = 235116614243
BaseRepresentation
bin100100110001101…
…1101110111001000
310012000001102120102
41021203131313020
510011403042440
6322241344532
742403055054
oct11143356710
93160042512
101234034120
11583642110
122a5338148
1316887c707
14b9c6cc64
157350eb15
hex498dddc8

1234034120 has 64 divisors (see below), whose sum is σ = 3034290240. Its totient is φ = 447955200.

The previous prime is 1234034107. The next prime is 1234034161. The reversal of 1234034120 is 214304321.

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

It is a junction number, because it is equal to n+sod(n) for n = 1234034092 and 1234034101.

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, 288719 + ... + 292961.

It is an arithmetic number, because the mean of its divisors is an integer number (47410785).

Almost surely, 21234034120 is an apocalyptic number.

1234034120 is a gapful number since it is divisible by the number (10) 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 1234034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517145120).

1234034120 is an abundant number, since it is smaller than the sum of its proper divisors (1800256120).

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

1234034120 is a wasteful number, since it uses less digits than its factorization.

1234034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4922 counting only the distinct ones).

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

The square root of 1234034120 is about 35128.8217849674. The cubic root of 1234034120 is about 1072.6113525728.

Adding to 1234034120 its reverse (214304321), we get a palindrome (1448338441).

The spelling of 1234034120 in words is "one billion, two hundred thirty-four million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 661 1322 2644 3305 4243 5288 6610 7271 8486 13220 14542 16972 21215 26440 29084 33944 36355 42430 46673 58168 72710 84860 93346 145420 169720 186692 233365 290840 373384 466730 933460 1866920 2804623 5609246 11218492 14023115 22436984 28046230 30850853 56092460 61701706 112184920 123403412 154254265 246806824 308508530 617017060 1234034120