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234474336 = 25321783577
BaseRepresentation
bin11011111100111…
…00101101100000
3121100012112022200
431332130231200
5440011134321
635133333200
75544666435
oct1576345540
9540175280
10234474336
1111039a048
1266637200
1339767a15
14231d7b8c
15158b8d26
hexdf9cb60

234474336 has 144 divisors (see below), whose sum is σ = 715753584. Its totient is φ = 72548352.

The previous prime is 234474329. The next prime is 234474379. The reversal of 234474336 is 633474432.

234474336 is digitally balanced in base 3, 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234474336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406080 + ... + 406656.

It is an arithmetic number, because the mean of its divisors is an integer number (4970511).

Almost surely, 2234474336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357876792).

234474336 is an abundant number, since it is smaller than the sum of its proper divisors (481279248).

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

234474336 is a wasteful number, since it uses less digits than its factorization.

234474336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 234474336 is about 15312.5548488814. The cubic root of 234474336 is about 616.6401115746.

The spelling of 234474336 in words is "two hundred thirty-four million, four hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 83 96 102 136 144 153 166 204 249 272 288 306 332 408 498 544 577 612 664 747 816 996 1154 1224 1328 1411 1494 1632 1731 1992 2308 2448 2656 2822 2988 3462 3984 4233 4616 4896 5193 5644 5976 6924 7968 8466 9232 9809 10386 11288 11952 12699 13848 16932 18464 19618 20772 22576 23904 25398 27696 29427 33864 39236 41544 45152 47891 50796 55392 58854 67728 78472 83088 88281 95782 101592 117708 135456 143673 156944 166176 176562 191564 203184 235416 287346 313888 353124 383128 406368 431019 470832 574692 706248 766256 814147 862038 941664 1149384 1412496 1532512 1628294 1724076 2298768 2442441 2824992 3256588 3448152 4597536 4884882 6513176 6896304 7327323 9769764 13026352 13792608 14654646 19539528 26052704 29309292 39079056 58618584 78158112 117237168 234474336