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380308620 = 223531414987
BaseRepresentation
bin10110101010110…
…000110010001100
3222111121200100110
4112222300302030
51234324333440
6101423200020
712265366326
oct2652606214
9874550313
10380308620
1118574654a
12a7446010
1360a387b3
143871a616
15235c4080
hex16ab0c8c

380308620 has 96 divisors (see below), whose sum is σ = 1126250496. Its totient is φ = 95731200.

The previous prime is 380308613. The next prime is 380308627. The reversal of 380308620 is 26803083.

It is an interprime number because it is at equal distance from previous prime (380308613) and next prime (380308627).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (380308627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73767 + ... + 78753.

It is an arithmetic number, because the mean of its divisors is an integer number (11731776).

Almost surely, 2380308620 is an apocalyptic number.

380308620 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 380308620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563125248).

380308620 is an abundant number, since it is smaller than the sum of its proper divisors (745941876).

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

380308620 is a wasteful number, since it uses less digits than its factorization.

380308620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 380308620 is about 19501.5030189983. The cubic root of 380308620 is about 724.5116775067.

The spelling of 380308620 in words is "three hundred eighty million, three hundred eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 4987 5084 6355 7626 9974 12710 14961 15252 19065 19948 24935 25420 29922 38130 49870 59844 74805 76260 99740 149610 154597 204467 299220 309194 408934 463791 613401 618388 772985 817868 927582 1022335 1226802 1545970 1855164 2044670 2318955 2453604 3067005 3091940 4089340 4637910 6134010 6338477 9275820 12268020 12676954 19015431 25353908 31692385 38030862 63384770 76061724 95077155 126769540 190154310 380308620