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234680992 = 25721329397
BaseRepresentation
bin11011111110011…
…11001010100000
3121100121000210121
431333033022200
5440034242432
635142010024
75546520100
oct1577171240
9540530717
10234680992
11110520337
1266716914
133980aac0
142324d200
151590a197
hexdfcf2a0

234680992 has 144 divisors (see below), whose sum is σ = 600271560. Its totient is φ = 89413632.

The previous prime is 234680981. The next prime is 234681001. The reversal of 234680992 is 299086432.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 51782416 = 13524^2 + 7196^2 .

It is a super-2 number, since 2×2346809922 = 110150336012208128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 590938 + ... + 591334.

Almost surely, 2234680992 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 234680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300135780).

234680992 is an abundant number, since it is smaller than the sum of its proper divisors (365590568).

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

234680992 is a wasteful number, since it uses less digits than its factorization.

234680992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 234680992 is about 15319.3012895497. The cubic root of 234680992 is about 616.8212187575.

It can be divided in two parts, 2346 and 80992, that added together give a palindrome (83338).

The spelling of 234680992 in words is "two hundred thirty-four million, six hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 49 52 56 58 91 98 104 112 116 182 196 203 208 224 232 364 377 392 397 406 416 464 637 728 754 784 794 812 928 1274 1421 1456 1508 1568 1588 1624 2548 2639 2779 2842 2912 3016 3176 3248 5096 5161 5278 5558 5684 6032 6352 6496 10192 10322 10556 11116 11368 11513 12064 12704 18473 19453 20384 20644 21112 22232 22736 23026 36127 36946 38906 41288 42224 44464 45472 46052 72254 73892 77812 80591 82576 84448 88928 92104 144508 147784 149669 155624 161182 165152 184208 252889 289016 295568 299338 311248 322364 368416 505778 564137 578032 591136 598676 622496 644728 1011556 1047683 1128274 1156064 1197352 1289456 2023112 2095366 2256548 2394704 2578912 4046224 4190732 4513096 4789408 7333781 8092448 8381464 9026192 14667562 16762928 18052384 29335124 33525856 58670248 117340496 234680992