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234074208 = 25373127263
BaseRepresentation
bin11011111001110…
…11000001100000
3121022110012110010
431330323001200
5434410333313
635121004520
75541412044
oct1574730140
9538405403
10234074208
11110146465
1266483740
1339657864
1423132024
151583a4c3
hexdf3b060

234074208 has 96 divisors (see below), whose sum is σ = 630153216. Its totient is φ = 76059648.

The previous prime is 234074131. The next prime is 234074209. The reversal of 234074208 is 802470432.

234074208 is digitally balanced in base 2, 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234074209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889885 + ... + 890147.

It is an arithmetic number, because the mean of its divisors is an integer number (6564096).

Almost surely, 2234074208 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 234074208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315076608).

234074208 is an abundant number, since it is smaller than the sum of its proper divisors (396079008).

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

234074208 is a wasteful number, since it uses less digits than its factorization.

234074208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 234074208 is about 15299.4839128645. The cubic root of 234074208 is about 616.2891485621.

The spelling of 234074208 in words is "two hundred thirty-four million, seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 127 146 219 254 263 292 381 438 508 526 584 762 789 876 1016 1052 1168 1524 1578 1752 2032 2104 2336 3048 3156 3504 4064 4208 6096 6312 7008 8416 9271 12192 12624 18542 19199 25248 27813 33401 37084 38398 55626 57597 66802 74168 76796 100203 111252 115194 133604 148336 153592 200406 222504 230388 267208 296672 307184 400812 445008 460776 534416 614368 801624 890016 921552 1068832 1603248 1843104 2438273 3206496 4876546 7314819 9753092 14629638 19506184 29259276 39012368 58518552 78024736 117037104 234074208