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34020014325 = 35211101557733
BaseRepresentation
bin11111101011110000…
…000011100011110101
310020210220122210022120
4133223300003203311
51024133110424300
623343434550153
72313022231143
oct375360034365
9106726583276
1034020014325
1113478458320
126715298359
1332921a35bb
14190a2cc593
15d41a043a0
hex7ebc038f5

34020014325 has 96 divisors (see below), whose sum is σ = 62163199872. Its totient is φ = 16279680000.

The previous prime is 34020014317. The next prime is 34020014359. The reversal of 34020014325 is 52341002043.

It is not a de Polignac number, because 34020014325 - 23 = 34020014317 is a prime.

It is a super-2 number, since 2×340200143252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34020014295 and 34020014304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46411659 + ... + 46412391.

It is an arithmetic number, because the mean of its divisors is an integer number (647533332).

Almost surely, 234020014325 is an apocalyptic number.

It is an amenable number.

34020014325 is a deficient number, since it is larger than the sum of its proper divisors (28143185547).

34020014325 is a wasteful number, since it uses less digits than its factorization.

34020014325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34020014325 its reverse (52341002043), we get a palindrome (86361016368).

The spelling of 34020014325 in words is "thirty-four billion, twenty million, fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 101 165 275 303 505 557 733 825 1111 1515 1671 2199 2525 2785 3333 3665 5555 6127 7575 8063 8355 10995 13925 16665 18325 18381 24189 27775 30635 40315 41775 54975 56257 74033 83325 91905 120945 153175 168771 201575 222099 281285 370165 408281 459525 604725 618827 814363 843855 1110495 1224843 1406425 1850825 1856481 2041405 2443089 3094135 4071815 4219275 4491091 5552475 6124215 9282405 10207025 12215445 13473273 15470675 20359075 22455455 30621075 41236381 46412025 61077225 67366365 112277275 123709143 206181905 336831825 453600191 618545715 1030909525 1360800573 2268000955 3092728575 6804002865 11340004775 34020014325