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34234120440 = 23325132562691
BaseRepresentation
bin11111111000100000…
…110011100011111000
310021100211112111200200
4133320200303203320
51030102413323230
623421004002200
72321232136212
oct377040634370
9107324474620
1034234120440
11135782a5423
126774b30360
1332c7659400
14192a9035b2
15d556e8160
hex7f88338f8

34234120440 has 144 divisors (see below), whose sum is σ = 120477984120. Its totient is φ = 8426845440.

The previous prime is 34234120423. The next prime is 34234120513. The reversal of 34234120440 is 4402143243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220506 + ... + 342185.

Almost surely, 234234120440 is an apocalyptic number.

34234120440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34234120440 is an abundant number, since it is smaller than the sum of its proper divisors (86243863680).

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

34234120440 is a wasteful number, since it uses less digits than its factorization.

34234120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562734 (or 562714 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34234120440 its reverse (4402143243), we get a palindrome (38636263683).

The spelling of 34234120440 in words is "thirty-four billion, two hundred thirty-four million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 10140 12168 15210 20280 30420 60840 562691 1125382 1688073 2250764 2813455 3376146 4501528 5064219 5626910 6752292 7314983 8440365 10128438 11253820 13504584 14629966 16880730 20256876 21944949 22507640 25321095 29259932 33761460 36574915 40513752 43889898 50642190 58519864 65834847 67522920 73149830 87779796 95094779 101284380 109724745 131669694 146299660 175559592 190189558 202568760 219449490 263339388 285284337 292599320 329174235 380379116 438898980 475473895 526678776 570568674 658348470 760758232 855853011 877797960 950947790 1141137348 1316696940 1426421685 1711706022 1901895580 2282274696 2633393880 2852843370 3423412044 3803791160 4279265055 5705686740 6846824088 8558530110 11411373480 17117060220 34234120440