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341249880 = 233519971543
BaseRepresentation
bin10100010101110…
…000111101011000
3212210010021211110
4110111300331120
51144324444010
653510100320
711312401416
oct2425607530
9783107743
10341249880
111656990a4
129634a6a0
135591150a
14334702b6
151ee5b120
hex14570f58

341249880 has 128 divisors (see below), whose sum is σ = 1089446400. Its totient is φ = 85266432.

The previous prime is 341249879. The next prime is 341249893. The reversal of 341249880 is 88942143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220389 + ... + 221931.

It is an arithmetic number, because the mean of its divisors is an integer number (8511300).

Almost surely, 2341249880 is an apocalyptic number.

341249880 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 341249880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544723200).

341249880 is an abundant number, since it is smaller than the sum of its proper divisors (748196520).

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

341249880 is a wasteful number, since it uses less digits than its factorization.

341249880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 341249880 is about 18472.9499539191. The cubic root of 341249880 is about 698.8074115203.

It can be divided in two parts, 3412498 and 80, that added together give a triangular number (3412578 = T2612).

The spelling of 341249880 in words is "three hundred forty-one million, two hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 97 114 120 152 190 194 228 285 291 380 388 456 485 570 582 760 776 970 1140 1164 1455 1543 1843 1940 2280 2328 2910 3086 3686 3880 4629 5529 5820 6172 7372 7715 9215 9258 11058 11640 12344 14744 15430 18430 18516 22116 23145 27645 29317 30860 36860 37032 44232 46290 55290 58634 61720 73720 87951 92580 110580 117268 146585 149671 175902 185160 221160 234536 293170 299342 351804 439755 449013 586340 598684 703608 748355 879510 898026 1172680 1197368 1496710 1759020 1796052 2245065 2843749 2993420 3518040 3592104 4490130 5687498 5986840 8531247 8980260 11374996 14218745 17062494 17960520 22749992 28437490 34124988 42656235 56874980 68249976 85312470 113749960 170624940 341249880