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34680942 = 23267149193
BaseRepresentation
bin1000010001001…
…1000001101110
32102020222022100
42010103001232
532334242232
63235155530
7600532422
oct204230156
972228270
1034680942
111863833a
12b745ba6
13725378a
14486ab82
1530a0c7c
hex211306e

34680942 has 48 divisors (see below), whose sum is σ = 77173200. Its totient is φ = 11252736.

The previous prime is 34680937. The next prime is 34680949. The reversal of 34680942 is 24908643.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34680897 and 34680906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34680949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179598 + ... + 179790.

It is an arithmetic number, because the mean of its divisors is an integer number (1607775).

Almost surely, 234680942 is an apocalyptic number.

34680942 is an abundant number, since it is smaller than the sum of its proper divisors (42492258).

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

34680942 is a wasteful number, since it uses less digits than its factorization.

34680942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34680942 is about 5889.0527251842. The cubic root of 34680942 is about 326.1096335441.

The spelling of 34680942 in words is "thirty-four million, six hundred eighty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 67 134 149 193 201 298 386 402 447 579 603 894 1158 1206 1341 1737 2682 3474 9983 12931 19966 25862 28757 29949 38793 57514 59898 77586 86271 89847 116379 172542 179694 232758 258813 517626 1926719 3853438 5780157 11560314 17340471 34680942