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3414242200 = 2352412331787
BaseRepresentation
bin1100101110000001…
…0011001110011000
322210221111110210211
43023200103032120
523443021222300
61322443020504
7150415402615
oct31340231630
98727443724
103414242200
1114a2283776
127b350a734
13425471575
1424563750c
1514eb1c4ba
hexcb813398

3414242200 has 96 divisors (see below), whose sum is σ = 8171195760. Its totient is φ = 1325926400.

The previous prime is 3414242189. The next prime is 3414242201. The reversal of 3414242200 is 22424143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414242201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1909707 + ... + 1911493.

Almost surely, 23414242200 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 3414242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085597880).

3414242200 is an abundant number, since it is smaller than the sum of its proper divisors (4756953560).

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

3414242200 is a wasteful number, since it uses less digits than its factorization.

3414242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3414242200 is about 58431.5171803711. The cubic root of 3414242200 is about 1505.7912712688.

Adding to 3414242200 its reverse (22424143), we get a palindrome (3436666343).

The spelling of 3414242200 in words is "three billion, four hundred fourteen million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 233 328 410 466 820 932 1025 1165 1640 1787 1864 2050 2330 3574 4100 4660 5825 7148 8200 8935 9320 9553 11650 14296 17870 19106 23300 35740 38212 44675 46600 47765 71480 73267 76424 89350 95530 146534 178700 191060 238825 293068 357400 366335 382120 416371 477650 586136 732670 832742 955300 1465340 1665484 1831675 1910600 2081855 2930680 3330968 3663350 4163710 7326700 8327420 10409275 14653400 16654840 17071211 20818550 34142422 41637100 68284844 83274200 85356055 136569688 170712110 341424220 426780275 682848440 853560550 1707121100 3414242200