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34243832640 = 263549172649
BaseRepresentation
bin11111111001000101…
…110110101101000000
310021101111210221022210
4133321011312231000
51030112410121030
623421552102120
72321410526523
oct377105665500
9107344727283
1034243832640
1113582829336
126778234940
1332c9679c84
14192bd10bba
15d564b5bb0
hex7f9176b40

34243832640 has 112 divisors (see below), whose sum is σ = 108947102400. Its totient is φ = 9112965120.

The previous prime is 34243832611. The next prime is 34243832641. The reversal of 34243832640 is 4623834243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243832641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 435036 + ... + 507684.

Almost surely, 234243832640 is an apocalyptic number.

34243832640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34243832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54473551200).

34243832640 is an abundant number, since it is smaller than the sum of its proper divisors (74703269760).

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

34243832640 is a wasteful number, since it uses less digits than its factorization.

34243832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73160 (or 73150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 34243832640 in words is "thirty-four billion, two hundred forty-three million, eight hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 491 960 982 1473 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 31424 39280 47136 58920 72649 78560 94272 117840 145298 157120 217947 235680 290596 363245 435894 471360 581192 726490 871788 1089735 1162384 1452980 1743576 2179470 2324768 2905960 3487152 4358940 4649536 5811920 6974304 8717880 11623840 13948608 17435760 23247680 34871520 35670659 69743040 71341318 107011977 142682636 178353295 214023954 285365272 356706590 428047908 535059885 570730544 713413180 856095816 1070119770 1141461088 1426826360 1712191632 2140239540 2282922176 2853652720 3424383264 4280479080 5707305440 6848766528 8560958160 11414610880 17121916320 34243832640