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3640380 = 2235174383
BaseRepresentation
bin1101111000110000111100
320211221122220
431320300330
51412443010
6210005340
742641232
oct15706074
96757586
103640380
112067087
121276850
139a5c93
146aa952
154bd970
hex378c3c

3640380 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 881664.

The previous prime is 3640379. The next prime is 3640391. The reversal of 3640380 is 830463.

It is a self number, because there is not a number n which added to its sum of digits gives 3640380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43819 + ... + 43901.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 23640380 is an apocalyptic number.

3640380 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 3640380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3640380 is an abundant number, since it is smaller than the sum of its proper divisors (7536324).

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

3640380 is a wasteful number, since it uses less digits than its factorization.

3640380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3640380 is about 1907.9779872944. The cubic root of 3640380 is about 153.8327864027.

The spelling of 3640380 in words is "three million, six hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 83 85 86 102 129 166 170 172 204 215 249 255 258 332 340 415 430 498 510 516 645 731 830 860 996 1020 1245 1290 1411 1462 1660 2193 2490 2580 2822 2924 3569 3655 4233 4386 4980 5644 7055 7138 7310 8466 8772 10707 10965 14110 14276 14620 16932 17845 21165 21414 21930 28220 35690 42330 42828 43860 53535 60673 71380 84660 107070 121346 182019 214140 242692 303365 364038 606730 728076 910095 1213460 1820190 3640380