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3400070040 = 2333517185189
BaseRepresentation
bin1100101010101000…
…1111001110011000
322202221211110021000
43022222033032120
523430404220130
61321215145000
7150154055433
oct31252171630
98687743230
103400070040
111495283a44
127aa815160
1342254b983
142437c881a
1514d76d260
hexcaa8f398

3400070040 has 128 divisors (see below), whose sum is σ = 12000312000. Its totient is φ = 853346304.

The previous prime is 3400069991. The next prime is 3400070053. The reversal of 3400070040 is 400700043.

3400070040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3400069995 and 3400070022.

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, 74235 + ... + 110954.

Almost surely, 23400070040 is an apocalyptic number.

3400070040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400070040 is an abundant number, since it is smaller than the sum of its proper divisors (8600241960).

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

3400070040 is a wasteful number, since it uses less digits than its factorization.

3400070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185226 (or 185216 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3400070040 is about 58310.1195334052. The cubic root of 3400070040 is about 1503.7049215036.

Adding to 3400070040 its reverse (400700043), we get a palindrome (3800770083).

The spelling of 3400070040 in words is "three billion, four hundred million, seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 185189 370378 555567 740756 925945 1111134 1481512 1666701 1851890 2222268 2777835 3148213 3333402 3703780 4444536 5000103 5555670 6296426 6666804 7407560 8333505 9444639 10000206 11111340 12592852 13333608 15741065 16667010 18889278 20000412 22222680 25000515 25185704 28333917 31482130 33334020 37778556 40000824 47223195 50001030 56667834 62964260 66668040 75557112 85001751 94446390 100002060 113335668 125928520 141669585 170003502 188892780 200004120 226671336 283339170 340007004 377785560 425008755 566678340 680014008 850017510 1133356680 1700035020 3400070040