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3004472415 = 357314147479
BaseRepresentation
bin1011001100010100…
…1001110001011111
321202101110000100010
42303011021301133
522123121104130
61214044134303
7134311410540
oct26305116137
97671400303
103004472415
111301a4565a
126ba237393
1338b5bc139
1420704c4c7
15128b790b0
hexb3149c5f

3004472415 has 128 divisors (see below), whose sum is σ = 5945425920. Its totient is φ = 1266508800.

The previous prime is 3004472389. The next prime is 3004472417. The reversal of 3004472415 is 5142744003.

It is not a de Polignac number, because 3004472415 - 29 = 3004471903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004472417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6272146 + ... + 6272624.

It is an arithmetic number, because the mean of its divisors is an integer number (46448640).

Almost surely, 23004472415 is an apocalyptic number.

3004472415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3004472415 is a deficient number, since it is larger than the sum of its proper divisors (2940953505).

3004472415 is a wasteful number, since it uses less digits than its factorization.

3004472415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 3004472415 is about 54813.0679218013. The cubic root of 3004472415 is about 1442.9659187369.

The spelling of 3004472415 in words is "three billion, four million, four hundred seventy-two thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 31 35 41 47 93 105 123 141 155 205 217 235 287 329 465 479 615 651 705 861 987 1085 1271 1435 1437 1457 1645 1927 2395 3255 3353 3813 4305 4371 4935 5781 6355 7185 7285 8897 9635 10059 10199 13489 14849 16765 19065 19639 21855 22513 26691 28905 30597 40467 44485 44547 50295 50995 58917 59737 67445 67539 74245 98195 103943 112565 133455 137473 152985 157591 179211 202335 222735 294585 298685 311829 337695 412419 418159 472773 519715 608809 687365 697903 787955 896055 923033 1254477 1559145 1826427 2062095 2090795 2093709 2363865 2769099 3044045 3489515 4261663 4615165 4885321 6272385 6461231 9132135 10468545 12784989 13845495 14655963 19383693 21308315 24426605 28614023 32306155 63924945 73279815 85842069 96918465 143070115 200298161 429210345 600894483 1001490805 3004472415