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234393408 = 26322291777
BaseRepresentation
bin11011111100010…
…00111101000000
3121100001102022100
431332020331000
5440001042113
635131510400
75544211464
oct1576107500
9540042270
10234393408
11110344267
12665b8400
1339739c32
14231b64a4
151589ed73
hexdf88f40

234393408 has 84 divisors (see below), whose sum is σ = 675159940. Its totient is φ = 77746176.

The previous prime is 234393353. The next prime is 234393421. The reversal of 234393408 is 804393432.

It is a happy number.

234393408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 58247424 = 13272^2 + 7632^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131016 + ... + 132792.

Almost surely, 2234393408 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 234393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337579970).

234393408 is an abundant number, since it is smaller than the sum of its proper divisors (440766532).

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

234393408 is a wasteful number, since it uses less digits than its factorization.

234393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 234393408 is about 15309.9120833531. The cubic root of 234393408 is about 616.5691596825.

The spelling of 234393408 in words is "two hundred thirty-four million, three hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 458 576 687 916 1374 1777 1832 2061 2748 3554 3664 4122 5331 5496 7108 7328 8244 10662 10992 14216 14656 15993 16488 21324 21984 28432 31986 32976 42648 43968 56864 63972 65952 85296 113728 127944 131904 170592 255888 341184 406933 511776 813866 1023552 1220799 1627732 2441598 3255464 3662397 4883196 6510928 7324794 9766392 13021856 14649588 19532784 26043712 29299176 39065568 58598352 78131136 117196704 234393408