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34021241430 = 235112310494273
BaseRepresentation
bin11111101011110100…
…101111001001010110
310020210222222010120220
4133223310233021112
51024133414211210
623343521135210
72313035531541
oct375364571126
9106728863526
1034021241430
1113479116260
12671578a506
133292512cb7
14190a52b858
15d41b97c70
hex7ebd2f256

34021241430 has 128 divisors (see below), whose sum is σ = 93056947200. Its totient is φ = 7879618560.

The previous prime is 34021241413. The next prime is 34021241437. The reversal of 34021241430 is 3414212043.

It is a self number, because there is not a number n which added to its sum of digits gives 34021241430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021241437) 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, 7959774 + ... + 7964046.

It is an arithmetic number, because the mean of its divisors is an integer number (727007400).

Almost surely, 234021241430 is an apocalyptic number.

34021241430 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 34021241430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46528473600).

34021241430 is an abundant number, since it is smaller than the sum of its proper divisors (59035705770).

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

34021241430 is a wasteful number, since it uses less digits than its factorization.

34021241430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34021241430 its reverse (3414212043), we get a palindrome (37435453473).

The spelling of 34021241430 in words is "thirty-four billion, twenty-one million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1049 1265 1518 2098 2530 3147 3795 4273 5245 6294 7590 8546 10490 11539 12819 15735 21365 23078 24127 25638 31470 34617 42730 47003 48254 57695 64095 69234 72381 94006 98279 115390 120635 128190 141009 144762 173085 196558 235015 241270 265397 282018 294837 346170 361905 470030 491395 530794 589674 705045 723810 796191 982790 1081069 1326985 1410090 1474185 1592382 2162138 2653970 2948370 3243207 3980955 4482377 5405345 6486414 7961910 8964754 10810690 13447131 16216035 22411885 26894262 32432070 44823770 49306147 67235655 98612294 103094671 134471310 147918441 206189342 246530735 295836882 309284013 493061470 515473355 618568026 739592205 1030946710 1134041381 1479184410 1546420065 2268082762 3092840130 3402124143 5670206905 6804248286 11340413810 17010620715 34021241430