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34302212420 = 22572350920929
BaseRepresentation
bin11111111100100100…
…100011100101000100
310021112120122221022212
4133330210203211010
51030222331244140
623431435242552
72323016665130
oct377444434504
9107476587285
1034302212420
1113602782993
1267938a9458
1333087aa618
14193598a3c0
15d5b698765
hex7fc923944

34302212420 has 96 divisors (see below), whose sum is σ = 86077555200. Its totient is φ = 11226783744.

The previous prime is 34302212401. The next prime is 34302212501. The reversal of 34302212420 is 2421220343.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1628516 + ... + 1649444.

It is an arithmetic number, because the mean of its divisors is an integer number (896641200).

Almost surely, 234302212420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34302212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43038777600).

34302212420 is an abundant number, since it is smaller than the sum of its proper divisors (51775342780).

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

34302212420 is a wasteful number, since it uses less digits than its factorization.

34302212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21477 (or 21475 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 34302212420 its reverse (2421220343), we get a palindrome (36723432763).

The spelling of 34302212420 in words is "thirty-four billion, three hundred two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 509 644 805 1018 1610 2036 2545 3220 3563 5090 7126 10180 11707 14252 17815 20929 23414 35630 41858 46828 58535 71260 81949 83716 104645 117070 146503 163898 209290 234140 293006 327796 409745 418580 481367 586012 732515 819490 962734 1465030 1638980 1925468 2406835 2930060 3369569 4813670 6739138 9627340 10652861 13478276 16847845 21305722 33695690 42611444 53264305 67391380 74570027 106528610 149140054 213057220 245015803 298280108 372850135 490031606 745700270 980063212 1225079015 1491400540 1715110621 2450158030 3430221242 4900316060 6860442484 8575553105 17151106210 34302212420