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2923337680 = 245178092657
BaseRepresentation
bin1010111000111110…
…1001011111010000
321112201202221101221
42232033221133100
521441333301210
61202025134424
7132304650244
oct25617513720
97481687357
102923337680
11127016995a
1269702a414
13377852413
141da36c424
1512199e1da
hexae3e97d0

2923337680 has 80 divisors (see below), whose sum is σ = 7208177040. Its totient is φ = 1098776576.

The previous prime is 2923337639. The next prime is 2923337737. The reversal of 2923337680 is 867333292.

It can be written as a sum of positive squares in 8 ways, for example, as 381967936 + 2541369744 = 19544^2 + 50412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1098912 + ... + 1101568.

It is an arithmetic number, because the mean of its divisors is an integer number (90102213).

Almost surely, 22923337680 is an apocalyptic number.

2923337680 is a gapful number since it is divisible by the number (20) 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 2923337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604088520).

2923337680 is an abundant number, since it is smaller than the sum of its proper divisors (4284839360).

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

2923337680 is a wasteful number, since it uses less digits than its factorization.

2923337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 2923337680 is about 54067.8987940164. The cubic root of 2923337680 is about 1429.8582805746.

The spelling of 2923337680 in words is "two billion, nine hundred twenty-three million, three hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 809 1360 1618 2657 3236 4045 5314 6472 8090 10628 12944 13285 13753 16180 21256 26570 27506 32360 42512 45169 53140 55012 64720 68765 90338 106280 110024 137530 180676 212560 220048 225845 275060 361352 451690 550120 722704 903380 1100240 1806760 2149513 3613520 4299026 8598052 10747565 17196104 21495130 34392208 36541721 42990260 73083442 85980520 146166884 171961040 182708605 292333768 365417210 584667536 730834420 1461668840 2923337680