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34546324240 = 24517293832287
BaseRepresentation
bin100000001011000111…
…110001001100010000
310022011121000002210101
4200023013301030100
51031222324333430
623511555342144
72332042624321
oct401307611420
9108147002711
1034546324240
111371855479a
1268415b1954
13334723ab9c
14195a172448
15d72d17dca
hex80b1f1310

34546324240 has 160 divisors (see below), whose sum is σ = 88245780480. Its totient is φ = 12518940672.

The previous prime is 34546324213. The next prime is 34546324261. The reversal of 34546324240 is 4242364543.

It is a self number, because there is not a number n which added to its sum of digits gives 34546324240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15104377 + ... + 15106663.

It is an arithmetic number, because the mean of its divisors is an integer number (551536128).

Almost surely, 234546324240 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 34546324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44122890240).

34546324240 is an abundant number, since it is smaller than the sum of its proper divisors (53699456240).

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

34546324240 is a wasteful number, since it uses less digits than its factorization.

34546324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 34546324240 its reverse (4242364543), we get a palindrome (38788688783).

The spelling of 34546324240 in words is "thirty-four billion, five hundred forty-six million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 383 464 493 580 680 766 986 1160 1360 1532 1915 1972 2287 2320 2465 3064 3830 3944 4574 4930 6128 6511 7660 7888 9148 9860 11107 11435 13022 15320 18296 19720 22214 22870 26044 30640 32555 36592 38879 39440 44428 45740 52088 55535 65110 66323 77758 88856 91480 104176 111070 130220 132646 155516 177712 182960 188819 194395 222140 260440 265292 311032 331615 377638 388790 444280 520880 530584 622064 663230 755276 777580 875921 888560 944095 1061168 1127491 1326460 1510552 1555160 1751842 1888190 2254982 2652920 3021104 3110320 3503684 3776380 4379605 4509964 5305840 5637455 7007368 7552760 8759210 9019928 11274910 14014736 14890657 15105520 17518420 18039856 22549820 25401709 29781314 35036840 45099640 50803418 59562628 70073680 74453285 90199280 101606836 119125256 127008545 148906570 203213672 238250512 254017090 297813140 406427344 431829053 508034180 595626280 863658106 1016068360 1191252560 1727316212 2032136720 2159145265 3454632424 4318290530 6909264848 8636581060 17273162120 34546324240