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332424041430 = 2351319922718869
BaseRepresentation
bin1001101011001100000…
…01000101001111010110
31011210001012110222211110
410311212001011033112
520421301023311210
6412414040515450
733005530505355
oct4654601051726
91153035428743
10332424041430
11118a86783558
125451417bb86
1325469479440
14121374a799c
1589a900c420
hex4d660453d6

332424041430 has 128 divisors (see below), whose sum is σ = 867355776000. Its totient is φ = 81053305344.

The previous prime is 332424041371. The next prime is 332424041441. The reversal of 332424041430 is 34140424233.

It is a happy number.

It is a super-2 number, since 2×3324240414302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17608036 + ... + 17626904.

It is an arithmetic number, because the mean of its divisors is an integer number (6776217000).

Almost surely, 2332424041430 is an apocalyptic number.

332424041430 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 332424041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433677888000).

332424041430 is an abundant number, since it is smaller than the sum of its proper divisors (534931734570).

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

332424041430 is a wasteful number, since it uses less digits than its factorization.

332424041430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19318.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 332424041430 its reverse (34140424233), we get a palindrome (366564465663).

The spelling of 332424041430 in words is "three hundred thirty-two billion, four hundred twenty-four million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 227 390 398 454 597 681 995 1135 1194 1362 1990 2270 2587 2951 2985 3405 5174 5902 5970 6810 7761 8853 12935 14755 15522 17706 18869 25870 29510 37738 38805 44265 45173 56607 77610 88530 90346 94345 113214 135519 188690 225865 245297 271038 283035 451730 490594 566070 587249 677595 735891 1174498 1226485 1355190 1471782 1761747 2452970 2936245 3523494 3679455 3754931 4283263 5872490 7358910 7509862 8566526 8808735 11264793 12849789 17617470 18774655 21416315 22529586 25699578 37549310 42832630 48814103 55682419 56323965 64248945 97628206 111364838 112647930 128497890 146442309 167047257 244070515 278412095 292884618 334094514 488141030 556824190 732211545 835236285 852369337 1464423090 1670472570 1704738674 2557108011 4261846685 5114216022 8523693370 11080801381 12785540055 22161602762 25571080110 33242404143 55404006905 66484808286 110808013810 166212020715 332424041430