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35214203430 = 23257449124489
BaseRepresentation
bin100000110010111011…
…100001101000100110
310100220010201212210200
4200302323201220212
51034104314002210
624102134331330
72354432535060
oct406273415046
9110803655720
1035214203430
1113a3055526a
1269a91b9b46
133422711b83
1419c0b48730
15db17930c0
hex832ee1a26

35214203430 has 96 divisors (see below), whose sum is σ = 104870376000. Its totient is φ = 8030969856.

The previous prime is 35214203419. The next prime is 35214203459. The reversal of 35214203430 is 3430241253.

35214203430 is a `hidden beast` number, since 3 + 5 + 21 + 4 + 203 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35214203394 and 35214203403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220626 + ... + 345114.

It is an arithmetic number, because the mean of its divisors is an integer number (1092399750).

Almost surely, 235214203430 is an apocalyptic number.

35214203430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35214203430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52435188000).

35214203430 is an abundant number, since it is smaller than the sum of its proper divisors (69656172570).

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

35214203430 is a wasteful number, since it uses less digits than its factorization.

35214203430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124958 (or 124955 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 35214203430 its reverse (3430241253), we get a palindrome (38644444683).

The spelling of 35214203430 in words is "thirty-five billion, two hundred fourteen million, two hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 449 630 898 1347 2245 2694 3143 4041 4490 6286 6735 8082 9429 13470 15715 18858 20205 28287 31430 40410 47145 56574 94290 124489 141435 248978 282870 373467 622445 746934 871423 1120401 1244890 1742846 1867335 2240802 2614269 3734670 4357115 5228538 5602005 7842807 8714230 11204010 13071345 15685614 26142690 39214035 55895561 78428070 111791122 167686683 279477805 335373366 391268927 503060049 558955610 782537854 838433415 1006120098 1173806781 1676866830 1956344635 2347613562 2515300245 3521420343 3912689270 5030600490 5869033905 7042840686 11738067810 17607101715 35214203430