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341251040 = 25513359457
BaseRepresentation
bin10100010101110…
…001001111100000
3212210010100102102
4110111301033200
51144330013130
653510105532
711312404664
oct2425611740
9783110372
10341251040
11165699a59
129634b2a8
1355911bc0
14334708a4
151ee5b645
hex145713e0

341251040 has 96 divisors (see below), whose sum is σ = 872544960. Its totient is φ = 125374464.

The previous prime is 341251003. The next prime is 341251087. The reversal of 341251040 is 40152143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 746492 + ... + 746948.

It is an arithmetic number, because the mean of its divisors is an integer number (9089010).

Almost surely, 2341251040 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 341251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436272480).

341251040 is an abundant number, since it is smaller than the sum of its proper divisors (531293920).

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

341251040 is a wasteful number, since it uses less digits than its factorization.

341251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 341251040 is about 18472.9813511517. The cubic root of 341251040 is about 698.8082033308.

The spelling of 341251040 in words is "three hundred forty-one million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 359 416 457 520 718 914 1040 1436 1795 1828 2080 2285 2872 3590 3656 4570 4667 5744 5941 7180 7312 9140 9334 11488 11882 14360 14624 18280 18668 23335 23764 28720 29705 36560 37336 46670 47528 57440 59410 73120 74672 93340 95056 118820 149344 164063 186680 190112 237640 328126 373360 475280 656252 746720 820315 950560 1312504 1640630 2132819 2625008 3281260 4265638 5250016 6562520 8531276 10664095 13125040 17062552 21328190 26250080 34125104 42656380 68250208 85312760 170625520 341251040