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42234276 = 2237331331
BaseRepresentation
bin1010000100011…
…1000110100100
32221110201112110
42201013012210
541302444101
64105121020
71021662000
oct241070644
987421473
1042234276
1121927267
1212189170
1389997c6
145875700
153a93cd6
hex28471a4

42234276 has 96 divisors (see below), whose sum is σ = 118988800. Its totient is φ = 11642400.

The previous prime is 42234271. The next prime is 42234281. The reversal of 42234276 is 67243224.

It is an interprime number because it is at equal distance from previous prime (42234271) and next prime (42234281).

It is a super-4 number, since 4×422342764 (a number of 32 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42234271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127431 + ... + 127761.

Almost surely, 242234276 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 42234276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59494400).

42234276 is an abundant number, since it is smaller than the sum of its proper divisors (76754524).

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

42234276 is a wasteful number, since it uses less digits than its factorization.

42234276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 42234276 is about 6498.7903489803. The cubic root of 42234276 is about 348.2477757154.

The spelling of 42234276 in words is "forty-two million, two hundred thirty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 331 343 372 434 588 651 662 686 868 993 1029 1302 1324 1372 1519 1986 2058 2317 2604 3038 3972 4116 4557 4634 6076 6951 9114 9268 10261 10633 13902 16219 18228 20522 21266 27804 30783 31899 32438 41044 42532 48657 61566 63798 64876 71827 97314 113533 123132 127596 143654 194628 215481 227066 287308 340599 430962 454132 502789 681198 861924 1005578 1362396 1508367 2011156 3016734 3519523 6033468 7039046 10558569 14078092 21117138 42234276