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34479945 = 335536179
BaseRepresentation
bin1000001110000…
…1111101001001
32101212202121000
42003201331021
532311324240
63231005213
7566034423
oct203417511
971782530
1034479945
1118510325
12b669809
1371b3146
144817813
153061430
hex20e1f49

34479945 has 64 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 17521920.

The previous prime is 34479931. The next prime is 34479953. The reversal of 34479945 is 54997443.

It is a happy number.

It is not a de Polignac number, because 34479945 - 26 = 34479881 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34479945.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436416 + ... + 436494.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 234479945 is an apocalyptic number.

It is an amenable number.

34479945 is a deficient number, since it is larger than the sum of its proper divisors (29801655).

34479945 is a wasteful number, since it uses less digits than its factorization.

34479945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 34479945 is about 5871.9626190908. The cubic root of 34479945 is about 325.4784117858.

Adding to 34479945 its product of digits (544320), we get a triangular number (35024265 = T8369).

The spelling of 34479945 in words is "thirty-four million, four hundred seventy-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 53 61 79 135 159 183 237 265 305 395 477 549 711 795 915 1185 1431 1647 2133 2385 2745 3233 3555 4187 4819 7155 8235 9699 10665 12561 14457 16165 20935 24095 29097 37683 43371 48495 62805 72285 87291 113049 130113 145485 188415 216855 255407 436455 565245 650565 766221 1277035 2298663 3831105 6895989 11493315 34479945