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341777940 = 2235721011151
BaseRepresentation
bin10100010111110…
…001111000010100
3212211010010012020
4110113301320110
51144443343230
653525253140
711320031100
oct2427617024
9784103166
10341777940
11165a19909
12965641b0
1355a6798a
143356a900
1520012810
hex145f1e14

341777940 has 144 divisors (see below), whose sum is σ = 1125218304. Its totient is φ = 77280000.

The previous prime is 341777939. The next prime is 341777941. The reversal of 341777940 is 49777143.

It is an interprime number because it is at equal distance from previous prime (341777939) and next prime (341777941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 341777892 and 341777901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341777941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296365 + ... + 297515.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2341777940 is an apocalyptic number.

341777940 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 341777940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562609152).

341777940 is an abundant number, since it is smaller than the sum of its proper divisors (783440364).

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

341777940 is a wasteful number, since it uses less digits than its factorization.

341777940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 341777940 is about 18487.2372192278. The cubic root of 341777940 is about 699.1676774005.

The spelling of 341777940 in words is "three hundred forty-one million, seven hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 101 105 140 147 196 202 210 245 294 303 404 420 490 505 588 606 707 735 980 1010 1151 1212 1414 1470 1515 2020 2121 2302 2828 2940 3030 3453 3535 4242 4604 4949 5755 6060 6906 7070 8057 8484 9898 10605 11510 13812 14140 14847 16114 17265 19796 21210 23020 24171 24745 29694 32228 34530 40285 42420 48342 49490 56399 59388 69060 74235 80570 96684 98980 112798 116251 120855 148470 161140 169197 225596 232502 241710 281995 296940 338394 348753 465004 483420 563990 581255 676788 697506 813757 845985 1127980 1162510 1395012 1627514 1691970 1743765 2325020 2441271 3255028 3383940 3487530 4068785 4882542 5696299 6975060 8137570 9765084 11392598 12206355 16275140 17088897 22785196 24412710 28481495 34177794 48825420 56962990 68355588 85444485 113925980 170888970 341777940