Search a number
-
+
374545416 = 233722931087
BaseRepresentation
bin10110010100110…
…001110000001000
3222002202212201110
4112110301300020
51231340423131
6101055450320
712165404100
oct2624616010
9862685643
10374545416
1118246a573
12a55269a0
135c79b50b
1437a5a200
1522d36646
hex16531c08

374545416 has 96 divisors (see below), whose sum is σ = 1093962240. Its totient is φ = 106549632.

The previous prime is 374545387. The next prime is 374545417. The reversal of 374545416 is 614545473.

It is a happy number.

It is a super-2 number, since 2×3745454162 = 280568537293226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (374545417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344025 + ... + 345111.

It is an arithmetic number, because the mean of its divisors is an integer number (11395440).

Almost surely, 2374545416 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 374545416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

374545416 is an abundant number, since it is smaller than the sum of its proper divisors (719416824).

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

374545416 is a wasteful number, since it uses less digits than its factorization.

374545416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1392 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 374545416 is about 19353.1758634081. The cubic root of 374545416 is about 720.8332790745.

The spelling of 374545416 in words is "three hundred seventy-four million, five hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 293 294 392 586 588 879 1087 1172 1176 1758 2051 2174 2344 3261 3516 4102 4348 6153 6522 7032 7609 8204 8696 12306 13044 14357 15218 16408 22827 24612 26088 28714 30436 43071 45654 49224 53263 57428 60872 86142 91308 106526 114856 159789 172284 182616 213052 318491 319578 344568 426104 636982 639156 955473 1273964 1278312 1910946 2229437 2547928 3821892 4458874 6688311 7643784 8917748 13376622 15606059 17835496 26753244 31212118 46818177 53506488 62424236 93636354 124848472 187272708 374545416