Search a number
-
+
630348075 = 31052761
BaseRepresentation
bin100101100100100…
…101100100101011
31121221010000000000
4211210211210223
52242332114300
6142314314043
721422604330
oct4544454453
91557100000
10630348075
112a38a6925
12157128923
13a0793136
145da06987
153a514c00
hex2592592b

630348075 has 132 divisors (see below), whose sum is σ = 1361898448. Its totient is φ = 283435200.

The previous prime is 630348073. The next prime is 630348077. The reversal of 630348075 is 570843036.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (630348073) and next prime (630348077).

It is not a de Polignac number, because 630348075 - 21 = 630348073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (630348071) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 10333545 + ... + 10333605.

Almost surely, 2630348075 is an apocalyptic number.

630348075 is an abundant number, since it is smaller than the sum of its proper divisors (731550373).

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

630348075 is an frugal number, since it uses more digits than its factorization.

630348075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 630348075 is about 25106.7336585228. The cubic root of 630348075 is about 857.4197382286.

The spelling of 630348075 in words is "six hundred thirty million, three hundred forty-eight thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 61 63 75 81 105 135 175 183 189 225 243 305 315 405 427 525 549 567 675 729 915 945 1215 1281 1525 1575 1647 1701 2025 2135 2187 2745 2835 3645 3843 4575 4725 4941 5103 6075 6405 6561 8235 8505 10675 10935 11529 13725 14175 14823 15309 18225 19215 19683 24705 25515 32025 32805 34587 41175 42525 44469 45927 54675 57645 59049 74115 76545 96075 98415 103761 123525 127575 133407 137781 164025 172935 222345 229635 288225 295245 311283 370575 382725 400221 413343 492075 518805 667035 688905 864675 933849 1111725 1148175 1200663 1476225 1556415 2001105 2066715 2594025 2801547 3335175 3444525 3601989 4669245 6003315 7782075 8404641 10005525 10333575 14007735 18009945 23346225 25213923 30016575 42023205 70038675 90049725 126069615 210116025 630348075