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380517732 = 2232721712689
BaseRepresentation
bin10110101011100…
…011110101100100
3222112000022012100
4112223203311210
51234403031412
6101431452100
712300230100
oct2653436544
9875008170
10380517732
11185879671
12a7527030
1360aaca2a
1438772900
1523615edc
hex16ae3d64

380517732 has 108 divisors (see below), whose sum is σ = 1184814540. Its totient is φ = 102316032.

The previous prime is 380517721. The next prime is 380517743. The reversal of 380517732 is 237715083.

It is an interprime number because it is at equal distance from previous prime (380517721) and next prime (380517743).

It can be written as a sum of positive squares in 2 ways, for example, as 161951076 + 218566656 = 12726^2 + 14784^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23644 + ... + 36332.

It is an arithmetic number, because the mean of its divisors is an integer number (10970505).

Almost surely, 2380517732 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 380517732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592407270).

380517732 is an abundant number, since it is smaller than the sum of its proper divisors (804296808).

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

380517732 is a wasteful number, since it uses less digits than its factorization.

380517732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12730 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 380517732 is about 19506.8637151132. The cubic root of 380517732 is about 724.6444436501.

The spelling of 380517732 in words is "three hundred eighty million, five hundred seventeen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 12689 14994 25378 29988 38067 50756 76134 88823 114201 152268 177646 215713 228402 266469 355292 431426 456804 532938 621761 647139 799407 862852 1065876 1243522 1294278 1509991 1598814 1865283 1941417 2487044 2588556 3019982 3197628 3730566 3882834 4529973 5595849 6039964 7461132 7765668 9059946 10569937 11191698 13589919 18119892 21139874 22383396 27179838 31709811 42279748 54359676 63419622 95129433 126839244 190258866 380517732