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34430211240 = 23351312190217
BaseRepresentation
bin100000000100001100…
…110101010010101000
310021212111111221200220
4200010030311102220
51031003113224430
623452250530040
72326132652415
oct400414652250
9107774457626
1034430211240
1113668a58337
12680a736920
133329175279
14194898910c
15d67a2e110
hex8043354a8

34430211240 has 64 divisors (see below), whose sum is σ = 104079159360. Its totient is φ = 9111298560.

The previous prime is 34430211223. The next prime is 34430211259. The reversal of 34430211240 is 4211203443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34430211240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079389 + ... + 1110828.

It is an arithmetic number, because the mean of its divisors is an integer number (1626236865).

Almost surely, 234430211240 is an apocalyptic number.

34430211240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34430211240 is an abundant number, since it is smaller than the sum of its proper divisors (69648948120).

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

34430211240 is a wasteful number, since it uses less digits than its factorization.

34430211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190362 (or 2190358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34430211240 its reverse (4211203443), we get a palindrome (38641414683).

The spelling of 34430211240 in words is "thirty-four billion, four hundred thirty million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 2190217 4380434 6570651 8760868 10951085 13141302 17521736 21902170 26282604 32853255 43804340 52565208 65706510 87608680 131413020 262826040 286918427 573836854 860755281 1147673708 1434592135 1721510562 2295347416 2869184270 3443021124 4303776405 5738368540 6886042248 8607552810 11476737080 17215105620 34430211240