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214301376 = 263467617
BaseRepresentation
bin11001100010111…
…11101011000000
3112221020122020000
430301133223000
5414330121001
633133120000
75211350232
oct1461375300
9487218200
10214301376
11aaa70883
125b929000
1335523963
1420666252
1513c31a86
hexcc5fac0

214301376 has 140 divisors (see below), whose sum is σ = 645782808. Its totient is φ = 70253568.

The previous prime is 214301363. The next prime is 214301411. The reversal of 214301376 is 673103412.

214301376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347020 + ... + 347636.

Almost surely, 2214301376 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 214301376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322891404).

214301376 is an abundant number, since it is smaller than the sum of its proper divisors (431481432).

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

214301376 is an equidigital number, since it uses as much as digits as its factorization.

214301376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 214301376 is about 14639.0360338377. The cubic root of 214301376 is about 598.4230590598.

Adding to 214301376 its reverse (673103412), we get a palindrome (887404788).

The spelling of 214301376 in words is "two hundred fourteen million, three hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 402 432 536 576 603 617 648 804 864 1072 1206 1234 1296 1608 1728 1809 1851 2144 2412 2468 2592 3216 3618 3702 4288 4824 4936 5184 5427 5553 6432 7236 7404 9648 9872 10854 11106 12864 14472 14808 16659 19296 19744 21708 22212 28944 29616 33318 38592 39488 41339 43416 44424 49977 57888 59232 66636 82678 86832 88848 99954 115776 118464 124017 133272 165356 173664 177696 199908 248034 266544 330712 347328 355392 372051 399816 496068 533088 661424 744102 799632 992136 1066176 1116153 1322848 1488204 1599264 1984272 2232306 2645696 2976408 3198528 3348459 3968544 4464612 5952816 6696918 7937088 8929224 11905632 13393836 17858448 23811264 26787672 35716896 53575344 71433792 107150688 214301376