Search a number
-
+
381760302 = 237112337971
BaseRepresentation
bin10110110000010…
…011001100101110
3222121100102200110
4112300103030232
51240212312202
6101514240450
712313623540
oct2660231456
9877312613
10381760302
11186548190
12a7a26126
1361126491
14389b7690
15237ae26c
hex16c1332e

381760302 has 128 divisors (see below), whose sum is σ = 1021206528. Its totient is φ = 92188800.

The previous prime is 381760297. The next prime is 381760363. The reversal of 381760302 is 203067183.

381760302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 381760302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392677 + ... + 393647.

It is an arithmetic number, because the mean of its divisors is an integer number (7978176).

Almost surely, 2381760302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381760302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510603264).

381760302 is an abundant number, since it is smaller than the sum of its proper divisors (639446226).

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

381760302 is a wasteful number, since it uses less digits than its factorization.

381760302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 381760302 is about 19538.6873151704. The cubic root of 381760302 is about 725.4323553509.

The spelling of 381760302 in words is "three hundred eighty-one million, seven hundred sixty thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 37 42 46 66 69 74 77 111 138 154 161 222 231 253 259 322 407 462 483 506 518 759 777 814 851 966 971 1221 1518 1554 1702 1771 1942 2442 2553 2849 2913 3542 5106 5313 5698 5826 5957 6797 8547 9361 10626 10681 11914 13594 17094 17871 18722 20391 21362 22333 28083 32043 35742 35927 40782 44666 56166 64086 65527 66999 71854 74767 107781 131054 133998 149534 156331 196581 215562 224301 245663 251489 312662 393162 395197 448602 468993 491326 502978 736989 754467 790394 826321 937986 1185591 1473978 1508934 1652642 1719641 2371182 2478963 2766379 3439282 4957926 5158923 5532758 5784247 8299137 9089531 10317846 11568494 16598274 17352741 18179062 27268593 34705482 54537186 63626717 127253434 190880151 381760302