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434000700 = 223352722963
BaseRepresentation
bin11001110111100…
…101001100111100
31010020122112001000
4121313211030330
51342101010300
6111022050300
713516642110
oct3167451474
91106575030
10434000700
11202a89171
12101419990
136bbb7563
14418d5740
152817cc00
hex19de533c

434000700 has 144 divisors (see below), whose sum is σ = 1594620160. Its totient is φ = 99195840.

The previous prime is 434000669. The next prime is 434000807. The reversal of 434000700 is 7000434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7419 + ... + 30381.

Almost surely, 2434000700 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 434000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797310080).

434000700 is an abundant number, since it is smaller than the sum of its proper divisors (1160619460).

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

434000700 is a wasteful number, since it uses less digits than its factorization.

434000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22993 (or 22980 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 434000700 is about 20832.6834565305. The cubic root of 434000700 is about 757.1178348712.

The spelling of 434000700 in words is "four hundred thirty-four million, seven hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 22963 45926 68889 91852 114815 137778 160741 206667 229630 275556 321482 344445 413334 459260 482223 574075 620001 642964 688890 803705 826668 964446 1033335 1148150 1240002 1377780 1446669 1607410 1722225 1928892 2066670 2296300 2411115 2480004 2893338 3100005 3214820 3444450 4018525 4133340 4340007 4822230 5166675 5786676 6200010 6888900 7233345 8037050 8680014 9644460 10333350 12055575 12400020 14466690 15500025 16074100 17360028 20666700 21700035 24111150 28933380 31000050 36166725 43400070 48222300 62000100 72333450 86800140 108500175 144666900 217000350 434000700