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374480145 = 33513377379
BaseRepresentation
bin10110010100100…
…001110100010001
3222002122120012000
4112110201310101
51231331331040
6101054224213
712165012564
oct2624416421
9862576160
10374480145
11182425526
12a54b5069
135c7778b0
1437a404db
1522d22130
hex16521d11

374480145 has 128 divisors (see below), whose sum is σ = 755865600. Its totient is φ = 174680064.

The previous prime is 374480143. The next prime is 374480149. The reversal of 374480145 is 541084473.

374480145 is a `hidden beast` number, since 37 + 4 + 480 + 145 = 666.

It is not a de Polignac number, because 374480145 - 21 = 374480143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (374480143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4740216 + ... + 4740294.

It is an arithmetic number, because the mean of its divisors is an integer number (5905200).

Almost surely, 2374480145 is an apocalyptic number.

It is an amenable number.

374480145 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

374480145 is a wasteful number, since it uses less digits than its factorization.

374480145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 374480145 is about 19351.4894775570. The cubic root of 374480145 is about 720.7914040973.

The spelling of 374480145 in words is "three hundred seventy-four million, four hundred eighty thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 73 79 111 117 135 185 195 219 237 333 351 365 395 481 555 585 657 711 949 999 1027 1095 1185 1443 1665 1755 1971 2133 2405 2701 2847 2923 3081 3285 3555 4329 4745 4995 5135 5767 7215 8103 8541 8769 9243 9855 10665 12987 13505 14235 14615 15405 17301 21645 24309 25623 26307 27729 28835 35113 37999 40515 42705 43845 46215 51903 64935 72927 74971 78921 86505 105339 113997 121545 128115 131535 138645 155709 175565 189995 213379 224913 259515 316017 341991 364635 374855 394605 526695 569985 640137 674739 778545 948051 1025973 1066895 1124565 1580085 1709955 1920411 2024217 2773927 3200685 3373695 4740255 5129865 5761233 8321781 9602055 10121085 13869635 24965343 28806165 41608905 74896029 124826715 374480145