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234311420 = 225719591493
BaseRepresentation
bin11011111011101…
…00111011111100
3121022220020211202
431331310323330
5434440431140
635130035032
75543420450
oct1575647374
9538806752
10234311420
11110298702
1266578a78
133970b815
1423194660
1515885915
hexdf74efc

234311420 has 96 divisors (see below), whose sum is σ = 602380800. Its totient is φ = 74767104.

The previous prime is 234311347. The next prime is 234311437. The reversal of 234311420 is 24113432.

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 = 234311392 and 234311401.

It is a congruent number.

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, 156194 + ... + 157686.

It is an arithmetic number, because the mean of its divisors is an integer number (6274800).

Almost surely, 2234311420 is an apocalyptic number.

234311420 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 234311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301190400).

234311420 is an abundant number, since it is smaller than the sum of its proper divisors (368069380).

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

234311420 is a wasteful number, since it uses less digits than its factorization.

234311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1585 counting only the distinct ones).

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

The square root of 234311420 is about 15307.2342374447. The cubic root of 234311420 is about 616.4972618023.

Adding to 234311420 its reverse (24113432), we get a palindrome (258424852).

The spelling of 234311420 in words is "two hundred thirty-four million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 59 70 76 95 118 133 140 190 236 266 295 380 413 532 590 665 826 1121 1180 1330 1493 1652 2065 2242 2660 2986 4130 4484 5605 5972 7465 7847 8260 10451 11210 14930 15694 20902 22420 28367 29860 31388 39235 41804 52255 56734 78470 88087 104510 113468 141835 156940 176174 198569 209020 283670 352348 397138 440435 567340 616609 794276 880870 992845 1233218 1673653 1761740 1985690 2466436 3083045 3347306 3971380 6166090 6694612 8368265 11715571 12332180 16736530 23431142 33473060 46862284 58577855 117155710 234311420