Search a number
-
+
374542040 = 23543713067
BaseRepresentation
bin10110010100110…
…000111011011000
3222002202201002102
4112110300323120
51231340321130
6101055422532
712165361205
oct2624607330
9862681072
10374542040
11182467a84
12a5524a48
135c799b12
1437a58cac
1522d35645
hex16530ed8

374542040 has 64 divisors (see below), whose sum is σ = 874748160. Its totient is φ = 144224640.

The previous prime is 374542027. The next prime is 374542067. The reversal of 374542040 is 40245473.

It is a junction number, because it is equal to n+sod(n) for n = 374541994 and 374542012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120587 + ... + 123653.

It is an arithmetic number, because the mean of its divisors is an integer number (13667940).

Almost surely, 2374542040 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 374542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437374080).

374542040 is an abundant number, since it is smaller than the sum of its proper divisors (500206120).

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

374542040 is a wasteful number, since it uses less digits than its factorization.

374542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 374542040 is about 19353.0886423847. The cubic root of 374542040 is about 720.8311133021.

The spelling of 374542040 in words is "three hundred seventy-four million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 215 284 344 355 430 568 710 860 1420 1720 2840 3053 3067 6106 6134 12212 12268 15265 15335 24424 24536 30530 30670 61060 61340 122120 122680 131881 217757 263762 435514 527524 659405 871028 1055048 1088785 1318810 1742056 2177570 2637620 4355140 5275240 8710280 9363551 18727102 37454204 46817755 74908408 93635510 187271020 374542040