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434530152 = 233271945377
BaseRepresentation
bin11001111001100…
…110011101101000
31010021122102022100
4121321212131220
51342214431102
6111041253400
713524305520
oct3171463550
91107572270
10434530152
1120330aa31
12101634260
136c041544
14419d2680
1528234a1c
hex19e66768

434530152 has 96 divisors (see below), whose sum is σ = 1415793600. Its totient is φ = 117614592.

The previous prime is 434530147. The next prime is 434530211. The reversal of 434530152 is 251035434.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13113 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (14747850).

Almost surely, 2434530152 is an apocalyptic number.

434530152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434530152 is an abundant number, since it is smaller than the sum of its proper divisors (981263448).

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

434530152 is a wasteful number, since it uses less digits than its factorization.

434530152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45415 (or 45408 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 434530152 is about 20845.3868277852. The cubic root of 434530152 is about 757.4255875667.

Adding to 434530152 its reverse (251035434), we get a palindrome (685565586).

The spelling of 434530152 in words is "four hundred thirty-four million, five hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 45377 90754 136131 181508 272262 317639 363016 408393 544524 635278 816786 862163 952917 1089048 1270556 1633572 1724326 1905834 2541112 2586489 2858751 3267144 3448652 3811668 5172978 5717502 6035141 6897304 7623336 7759467 10345956 11435004 12070282 15518934 18105423 20691912 22870008 24140564 31037868 36210846 48281128 54316269 62075736 72421692 108632538 144843384 217265076 434530152