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3430052514 = 2337233710663
BaseRepresentation
bin1100110001110010…
…0111001010100010
322212001020201111000
43030130213022202
524011043140024
61324205532430
7150666652050
oct31434471242
98761221430
103430052514
1115001a2249
127b8874116
13428818995
142477911d0
151511e1cc9
hexcc7272a2

3430052514 has 128 divisors (see below), whose sum is σ = 9336545280. Its totient is φ = 911984832.

The previous prime is 3430052441. The next prime is 3430052519. The reversal of 3430052514 is 4152500343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3430052519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316347 + ... + 327009.

It is an arithmetic number, because the mean of its divisors is an integer number (72941760).

Almost surely, 23430052514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430052514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668272640).

3430052514 is an abundant number, since it is smaller than the sum of its proper divisors (5906492766).

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

3430052514 is a wasteful number, since it uses less digits than its factorization.

3430052514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10735 counting only the distinct ones).

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

The square root of 3430052514 is about 58566.6501859207. The cubic root of 3430052514 is about 1508.1119794445. Note that the first 3 decimals are identical.

Adding to 3430052514 its reverse (4152500343), we get a palindrome (7582552857).

The spelling of 3430052514 in words is "three billion, four hundred thirty million, fifty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 37 42 46 54 63 69 74 111 126 138 161 189 207 222 259 322 333 378 414 483 518 621 666 777 851 966 999 1242 1449 1554 1702 1998 2331 2553 2898 4347 4662 5106 5957 6993 7659 8694 10663 11914 13986 15318 17871 21326 22977 31989 35742 45954 53613 63978 74641 95967 107226 149282 160839 191934 223923 245249 287901 321678 394531 447846 490498 575802 671769 735747 789062 1183593 1343538 1471494 1716743 2015307 2207241 2367186 2761717 3433486 3550779 4030614 4414482 5150229 5523434 6621723 7101558 8285151 9074213 10300458 10652337 13243446 15450687 16570302 18148426 21304674 24855453 27222639 30901374 46352061 49710906 54445278 63519491 74566359 81667917 92704122 127038982 149132718 163335834 190558473 245003751 381116946 490007502 571675419 1143350838 1715026257 3430052514