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3402423200 = 255211235149
BaseRepresentation
bin1100101011001100…
…1101101110100000
322210010021000012002
43022303031232200
523432010020300
61321341423132
7150213056111
oct31263155640
98703230162
103402423200
111496640a00
127ab56aaa8
13422b93a87
14243c3c208
1514da855d5
hexcaccdba0

3402423200 has 108 divisors (see below), whose sum is σ = 9130177350. Its totient is φ = 1237209600.

The previous prime is 3402423181. The next prime is 3402423209. The reversal of 3402423200 is 23242043.

3402423200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2924213776 + 478209424 = 54076^2 + 21868^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3402423209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79226 + ... + 114374.

Almost surely, 23402423200 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 3402423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565088675).

3402423200 is an abundant number, since it is smaller than the sum of its proper divisors (5727754150).

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

3402423200 is a wasteful number, since it uses less digits than its factorization.

3402423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35191 (or 35167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3402423200 is about 58330.2940160600. The cubic root of 3402423200 is about 1504.0517420331.

Adding to 3402423200 its reverse (23242043), we get a palindrome (3425665243).

The spelling of 3402423200 in words is "three billion, four hundred two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 35149 48400 70298 96800 140596 175745 281192 351490 386639 562384 702980 773278 878725 1124768 1405960 1546556 1757450 1933195 2811920 3093112 3514900 3866390 4253029 5623840 6186224 7029800 7732780 8506058 9665975 12372448 14059600 15465560 17012116 19331950 21265145 28119200 30931120 34024232 38663900 42530290 61862240 68048464 77327800 85060580 106325725 136096928 154655600 170121160 212651450 309311200 340242320 425302900 680484640 850605800 1701211600 3402423200