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73404045 = 325112131761
BaseRepresentation
bin1000110000000…
…00111010001101
312010010022102100
410120000322031
5122242412140
611141145313
71550631651
oct430007215
9163108370
1073404045
1138486600
12206bb239
1312291060
149a6aa61
15669e530
hex4600e8d

73404045 has 144 divisors (see below), whose sum is σ = 162083376. Its totient is φ = 30412800.

The previous prime is 73404043. The next prime is 73404047. The reversal of 73404045 is 54040437.

It is an interprime number because it is at equal distance from previous prime (73404043) and next prime (73404047).

It can be written as a sum of positive squares in 8 ways, for example, as 12236004 + 61168041 = 3498^2 + 7821^2 .

It is not a de Polignac number, because 73404045 - 21 = 73404043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73404043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1203315 + ... + 1203375.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 273404045 is an apocalyptic number.

It is an amenable number.

73404045 is an abundant number, since it is smaller than the sum of its proper divisors (88679331).

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

73404045 is a wasteful number, since it uses less digits than its factorization.

73404045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 73404045 is about 8567.6160628263. The cubic root of 73404045 is about 418.7035704073.

The spelling of 73404045 in words is "seventy-three million, four hundred four thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 17 33 39 45 51 55 61 65 85 99 117 121 143 153 165 183 187 195 221 255 305 363 429 495 549 561 585 605 663 671 715 765 793 915 935 1037 1089 1105 1287 1573 1683 1815 1989 2013 2057 2145 2379 2431 2745 2805 3111 3315 3355 3965 4719 5185 5445 6039 6171 6435 7137 7293 7381 7865 8415 8723 9333 9945 10065 10285 11407 11895 12155 13481 14157 15555 18513 21879 22143 23595 26169 26741 30195 30855 34221 35685 36465 36905 40443 43615 46665 57035 66429 67405 70785 78507 80223 92565 95953 102663 109395 110715 121329 125477 130845 133705 148291 171105 202215 240669 287859 332145 376431 392535 401115 444873 479765 513315 606645 627385 741455 863577 1129293 1203345 1334619 1439295 1631201 1882155 2224365 4317885 4893603 5646465 6673095 8156005 14680809 24468015 73404045