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34681941 = 3272941463
BaseRepresentation
bin1000010001001…
…1010001010101
32102021000200100
42010103101111
532334310231
63235204313
7600535350
oct204232125
972230610
1034681941
1118639068
12b746699
137254078
14486b297
1530a11e6
hex2113455

34681941 has 48 divisors (see below), whose sum is σ = 60802560. Its totient is φ = 18627840.

The previous prime is 34681939. The next prime is 34681943. The reversal of 34681941 is 14918643.

34681941 is a `hidden beast` number, since 3 + 468 + 194 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34681939) and next prime (34681943).

It is not a de Polignac number, because 34681941 - 21 = 34681939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34681896 and 34681905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34681943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74676 + ... + 75138.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720).

Almost surely, 234681941 is an apocalyptic number.

It is an amenable number.

34681941 is a deficient number, since it is larger than the sum of its proper divisors (26120619).

34681941 is a wasteful number, since it uses less digits than its factorization.

34681941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 543 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 34681941 is about 5889.1375429684. The cubic root of 34681941 is about 326.1127647585.

The spelling of 34681941 in words is "thirty-four million, six hundred eighty-one thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 29 41 63 87 123 203 261 287 369 463 609 861 1189 1389 1827 2583 3241 3567 4167 8323 9723 10701 13427 18983 24969 29169 40281 56949 74907 93989 120843 132881 170847 281967 398643 550507 845901 1195929 1651521 3853549 4954563 11560647 34681941