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2034355152 = 243234793847
BaseRepresentation
bin111100101000001…
…1100101111010000
312020202222221122010
41321100130233100
513131243331102
6533511142520
7101261506404
oct17120345720
95222887563
102034355152
11954382155
12489374a40
1326561575b
1415427d104
15bd8ebd6c
hex7941cbd0

2034355152 has 80 divisors (see below), whose sum is σ = 5496791040. Its totient is φ = 647112576.

The previous prime is 2034355121. The next prime is 2034355153. The reversal of 2034355152 is 2515534302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034355153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526893 + ... + 530739.

It is an arithmetic number, because the mean of its divisors is an integer number (68709888).

Almost surely, 22034355152 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 2034355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748395520).

2034355152 is an abundant number, since it is smaller than the sum of its proper divisors (3462435888).

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

2034355152 is a wasteful number, since it uses less digits than its factorization.

2034355152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2034355152 is about 45103.8263565299. The cubic root of 2034355152 is about 1267.0942624092.

Adding to 2034355152 its reverse (2515534302), we get a palindrome (4549889454).

The spelling of 2034355152 in words is "two billion, thirty-four million, three hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 479 552 958 1104 1437 1916 2874 3832 3847 5748 7664 7694 11017 11496 11541 15388 22034 22992 23082 30776 33051 44068 46164 61552 66102 88136 88481 92328 132204 176272 176962 184656 264408 265443 353924 528816 530886 707848 1061772 1415696 1842713 2123544 3685426 4247088 5528139 7370852 11056278 14741704 22112556 29483408 42382399 44225112 84764798 88450224 127147197 169529596 254294394 339059192 508588788 678118384 1017177576 2034355152