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374050404 = 223271328783
BaseRepresentation
bin10110010010111…
…000111001100100
3222001211201200200
4112102320321210
51231224103104
6101041110500
712161242650
oct2622707144
9861751620
10374050404
11182161672
12a5328430
135c657100
143796ba60
1522c89b39
hex164b8e64

374050404 has 108 divisors (see below), whose sum is σ = 1170239616. Its totient is φ = 98639424.

The previous prime is 374050399. The next prime is 374050447. The reversal of 374050404 is 404050473.

It is a super-3 number, since 3×3740504043 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38197 + ... + 46979.

It is an arithmetic number, because the mean of its divisors is an integer number (10835552).

Almost surely, 2374050404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374050404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585119808).

374050404 is an abundant number, since it is smaller than the sum of its proper divisors (796189212).

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

374050404 is a wasteful number, since it uses less digits than its factorization.

374050404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826 (or 8808 counting only the distinct ones).

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

The square root of 374050404 is about 19340.3827263061. The cubic root of 374050404 is about 720.5155797880.

The spelling of 374050404 in words is "three hundred seventy-four million, fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 7098 8783 10647 14196 17566 21294 26349 35132 42588 52698 61481 79047 105396 114179 122962 158094 184443 228358 245924 316188 342537 368886 456716 553329 685074 737772 799253 1027611 1106658 1370148 1484327 1598506 2055222 2213316 2397759 2968654 3197012 4110444 4452981 4795518 5937308 7193277 8905962 9591036 10390289 13358943 14386554 17811924 20780578 26717886 28773108 31170867 41561156 53435772 62341734 93512601 124683468 187025202 374050404