Search a number
-
+
3745220940 = 2232567793931
BaseRepresentation
bin1101111100111011…
…1000100101001100
3100200000021221021200
43133032320211030
530132234032230
61415345025500
7161544565326
oct33716704514
910600257250
103745220940
111652096a1a
12886325290
13478bc7986
14277592616
1516dbea160
hexdf3b894c

3745220940 has 144 divisors (see below), whose sum is σ = 11678983680. Its totient is φ = 971118720.

The previous prime is 3745220851. The next prime is 3745220953. The reversal of 3745220940 is 490225473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3745220895 and 3745220904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950775 + ... + 954705.

Almost surely, 23745220940 is an apocalyptic number.

3745220940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745220940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839491840).

3745220940 is an abundant number, since it is smaller than the sum of its proper divisors (7933762740).

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

3745220940 is a wasteful number, since it uses less digits than its factorization.

3745220940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3745220940 is about 61198.2102679482. The cubic root of 3745220940 is about 1552.9559879431.

The spelling of 3745220940 in words is "three billion, seven hundred forty-five million, two hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 79 90 134 158 180 201 237 268 316 335 395 402 474 603 670 711 790 804 948 1005 1185 1206 1340 1422 1580 2010 2370 2412 2844 3015 3555 3931 4020 4740 5293 6030 7110 7862 10586 11793 12060 14220 15724 15879 19655 21172 23586 26465 31758 35379 39310 47172 47637 52930 58965 63516 70758 78620 79395 95274 105860 117930 141516 158790 176895 190548 235860 238185 263377 310549 317580 353790 476370 526754 621098 707580 790131 931647 952740 1053508 1242196 1316885 1552745 1580262 1863294 2370393 2633770 2794941 3105490 3160524 3726588 3950655 4658235 4740786 5267540 5589882 6210980 7901310 9316470 9481572 11179764 11851965 13974705 15802620 18632940 20806783 23703930 27949410 41613566 47407860 55898820 62420349 83227132 104033915 124840698 187261047 208067830 249681396 312101745 374522094 416135660 624203490 749044188 936305235 1248406980 1872610470 3745220940