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387140472 = 23343767241
BaseRepresentation
bin10111000100110…
…100101101111000
3222222110202220000
4113010310231320
51243101443342
6102225433000
712410432265
oct2704645570
9888422800
10387140472
11189592404
12a979b760
136228b304
14395b826c
1523ec344c
hex17134b78

387140472 has 160 divisors (see below), whose sum is σ = 1134970320. Its totient is φ = 123171840.

The previous prime is 387140449. The next prime is 387140503. The reversal of 387140472 is 274041783.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606272 + ... + 1606512.

Almost surely, 2387140472 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 387140472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567485160).

387140472 is an abundant number, since it is smaller than the sum of its proper divisors (747829848).

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

387140472 is a wasteful number, since it uses less digits than its factorization.

387140472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 387140472 is about 19675.8855455098. The cubic root of 387140472 is about 728.8243238729.

The spelling of 387140472 in words is "three hundred eighty-seven million, one hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 67 72 74 81 108 111 134 148 162 201 216 222 241 268 296 324 333 402 444 482 536 603 648 666 723 804 888 964 999 1206 1332 1446 1608 1809 1928 1998 2169 2412 2479 2664 2892 2997 3618 3996 4338 4824 4958 5427 5784 5994 6507 7236 7437 7992 8676 8917 9916 10854 11988 13014 14472 14874 16147 17352 17834 19521 19832 21708 22311 23976 26028 26751 29748 32294 35668 39042 43416 44622 48441 52056 53502 59496 64588 66933 71336 78084 80253 89244 96882 107004 129176 133866 145323 156168 160506 178488 193764 200799 214008 240759 267732 290646 321012 387528 401598 435969 481518 535464 581292 597439 642024 722277 803196 871938 963036 1162584 1194878 1307907 1444554 1606392 1743876 1792317 1926072 2389756 2615814 2889108 3487752 3584634 4779512 5231628 5376951 5778216 7169268 10463256 10753902 14338536 16130853 21507804 32261706 43015608 48392559 64523412 96785118 129046824 193570236 387140472