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234013104 = 24331341669
BaseRepresentation
bin11011111001011…
…00000110110000
3121022100002122000
431330230012300
5434401404404
635115414000
75541035643
oct1574540660
9538302560
10234013104
11110104566
1266454300
1339635ac0
1423117a5a
1515827339
hexdf2c1b0

234013104 has 80 divisors (see below), whose sum is σ = 723391200. Its totient is φ = 72002304.

The previous prime is 234013097. The next prime is 234013133. The reversal of 234013104 is 401310432.

234013104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15219 + ... + 26450.

It is an arithmetic number, because the mean of its divisors is an integer number (9042390).

Almost surely, 2234013104 is an apocalyptic number.

234013104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234013104 is an abundant number, since it is smaller than the sum of its proper divisors (489378096).

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

234013104 is a wasteful number, since it uses less digits than its factorization.

234013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41699 (or 41687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234013104 is about 15297.4868524212. The cubic root of 234013104 is about 616.2355174085.

Adding to 234013104 its reverse (401310432), we get a palindrome (635323536).

The spelling of 234013104 in words is "two hundred thirty-four million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 41669 83338 125007 166676 250014 333352 375021 500028 541697 666704 750042 1000056 1083394 1125063 1500084 1625091 2000112 2166788 2250126 3000168 3250182 4333576 4500252 4875273 6000336 6500364 8667152 9000504 9750546 13000728 14625819 18001008 19501092 26001456 29251638 39002184 58503276 78004368 117006552 234013104